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Curry R, Dissanayake J, Gandolfi S, Gezerlis A. Auxiliary field Quantum Monte Carlo for dilute neutrons on the lattice. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2024; 382:20230127. [PMID: 38910455 DOI: 10.1098/rsta.2023.0127] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/27/2023] [Accepted: 04/10/2024] [Indexed: 06/25/2024]
Abstract
We employ constrained path Auxiliary Field Quantum Monte Carlo (AFQMC) in the pursuit of studying physical nuclear systems using a lattice formalism. Since AFQMC has been widely used in the study of condensed-matter systems such as the Hubbard model, we benchmark our method against published results for both one- and two-dimensional Hubbard model calculations. We then turn our attention to cold atomic and nuclear systems. We use an onsite contact interaction that can be tuned in order to reproduce the known scattering length and effective range of a given interaction. Developing this machinery allows us to extend our calculations to study nuclear systems within a lattice formalism. We perform initial calculations for a range of nuclear systems from two- to few-body neutron systems. This article is part of the theme issue 'The liminal position of Nuclear Physics: from hadrons to neutron stars'.
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Affiliation(s)
- Ryan Curry
- Department of Physics, University of Guelph , Guelph, Ontario N1G 2W1, Canada
| | - Jayani Dissanayake
- Department of Physics, University of Guelph , Guelph, Ontario N1G 2W1, Canada
| | - Stefano Gandolfi
- Theoretical Division, Los Alamos National Laboratory , Los Alamos, NM 87545, USA
| | - Alexandros Gezerlis
- Department of Physics, University of Guelph , Guelph, Ontario N1G 2W1, Canada
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Drissi M, Keeble JWT, Rozalén Sarmiento J, Rios A. Second-order optimization strategies for neural network quantum states. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2024; 382:20240057. [PMID: 38910393 DOI: 10.1098/rsta.2024.0057] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/31/2024] [Accepted: 05/13/2024] [Indexed: 06/25/2024]
Abstract
The Variational Monte Carlo (VMC) method has recently seen important advances through the use of neural network quantum states. While more and more sophisticated ansatze have been designed to tackle a wide variety of quantum many-body problems, modest progress has been made on the associated optimization algorithms. In this work, we revisit the Kronecker-Factored Approximate Curvature (KFAC), an optimizer that has been used extensively in a variety of simulations. We suggest improvements in the scaling and the direction of this optimizer and find that they substantially increase its performance at a negligible additional cost. We also reformulate the VMC approach in a game theory framework, to propose a novel optimizer based on decision geometry. We find that on a practical test case for continuous systems, this new optimizer consistently outperforms any of the KFAC improvements in terms of stability, accuracy and speed of convergence. Beyond VMC, the versatility of this approach suggests that decision geometry could provide a solid foundation for accelerating a broad class of machine learning algorithms. This article is part of the theme issue 'The liminal position of Nuclear Physics: from hadrons to neutron stars'.
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Affiliation(s)
- M Drissi
- TRIUMF , Vancouver, British Columbia V6T 2A3, Canada
| | - J W T Keeble
- Department of Physics, University of Surrey , Guildford, GU2 7XH, UK
| | - J Rozalén Sarmiento
- Departament de Física Quàntica i Astrofísica, Universitat de Barcelona (UB) , c. Martí i Franquès 1, Barcelona E08028, Spain
- Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB) , Barcelona, Spain
| | - A Rios
- Department of Physics, University of Surrey , Guildford, GU2 7XH, UK
- Departament de Física Quàntica i Astrofísica, Universitat de Barcelona (UB) , c. Martí i Franquès 1, Barcelona E08028, Spain
- Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB) , Barcelona, Spain
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3
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Roth R, Petri M. Electromagnetic properties of nuclei from first principles: a case for synergies between experiment and theory. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2024; 382:20230119. [PMID: 38910404 DOI: 10.1098/rsta.2023.0119] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/17/2024] [Accepted: 04/23/2024] [Indexed: 06/25/2024]
Abstract
One of the overarching goals in nuclear science is to understand how the nuclear chart emerges from the underlying fundamental interactions. The description of the structure of nuclei from first principles, using ab initio methods for the solution of the many-nucleon problem with inputs from chiral effective field theory, has advanced dramatically over the past two decades. We present an overview over the available ab initio tools with a specific emphasis on electromagnetic observables, such as multipole moments and transition strengths. These observables still pose a challenge for ab initio theory and are one of the most exciting domains to exploit synergies with modern experiments. Precise experimental data are vital for the validation of the theory predictions and the refinement of ab initio methods. We discuss some of the past and future experimental efforts highlighting these synergies. This article is part of the theme issue 'The liminal position of Nuclear Physics: from hadrons to neutron stars'.
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Affiliation(s)
- R Roth
- Institut für Kernphysik, Technische Universität Darmstadt , Darmstadt 64289, Germany
- Helmholtz Forschungsakademie Hessen für FAIR (HFHF) , Darmstadt 64291, Germany
| | - M Petri
- School of Physics, Engineering and Technology, University of York , York YO10 5DD, UK
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4
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Arrowsmith-Kron G, Athanasakis-Kaklamanakis M, Au M, Ballof J, Berger R, Borschevsky A, Breier AA, Buchinger F, Budker D, Caldwell L, Charles C, Dattani N, de Groote RP, DeMille D, Dickel T, Dobaczewski J, Düllmann CE, Eliav E, Engel J, Fan M, Flambaum V, Flanagan KT, Gaiser AN, Garcia Ruiz RF, Gaul K, Giesen TF, Ginges JSM, Gottberg A, Gwinner G, Heinke R, Hoekstra S, Holt JD, Hutzler NR, Jayich A, Karthein J, Leach KG, Madison KW, Malbrunot-Ettenauer S, Miyagi T, Moore ID, Moroch S, Navratil P, Nazarewicz W, Neyens G, Norrgard EB, Nusgart N, Pašteka LF, N Petrov A, Plaß WR, Ready RA, Pascal Reiter M, Reponen M, Rothe S, Safronova MS, Scheidenerger C, Shindler A, Singh JT, Skripnikov LV, Titov AV, Udrescu SM, Wilkins SG, Yang X. Opportunities for fundamental physics research with radioactive molecules. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2024; 87:084301. [PMID: 38215499 DOI: 10.1088/1361-6633/ad1e39] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/10/2023] [Accepted: 01/12/2024] [Indexed: 01/14/2024]
Abstract
Molecules containing short-lived, radioactive nuclei are uniquely positioned to enable a wide range of scientific discoveries in the areas of fundamental symmetries, astrophysics, nuclear structure, and chemistry. Recent advances in the ability to create, cool, and control complex molecules down to the quantum level, along with recent and upcoming advances in radioactive species production at several facilities around the world, create a compelling opportunity to coordinate and combine these efforts to bring precision measurement and control to molecules containing extreme nuclei. In this manuscript, we review the scientific case for studying radioactive molecules, discuss recent atomic, molecular, nuclear, astrophysical, and chemical advances which provide the foundation for their study, describe the facilities where these species are and will be produced, and provide an outlook for the future of this nascent field.
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Affiliation(s)
- Gordon Arrowsmith-Kron
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI 48824, United States of America
| | - Michail Athanasakis-Kaklamanakis
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
- KU Leuven, Department of Physics and Astronomy, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - Mia Au
- CERN, Geneva, Switzerland
- Johannes Gutenberg-Universität Mainz, Mainz, Germany
| | - Jochen Ballof
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI 48824, United States of America
- Accelerator Systems Department, CERN, 1211 Geneva 23, Switzerland
| | - Robert Berger
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Anastasia Borschevsky
- Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, Groningen, The Netherlands
| | - Alexander A Breier
- Institute of Physics, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany
| | | | - Dmitry Budker
- Helmholtz-Institut, GSI Helmholtzzentrum fur Schwerionenforschung and Johannes Gutenberg University, Mainz 55128, Germany
- Department of Physics, University of California at Berkeley, Berkeley, CA 94720-7300, United States of America
| | - Luke Caldwell
- JILA, NIST and University of Colorado, Boulder, CO 80309, United States of America
- Department of Physics, University of Colorado, Boulder, CO 80309, United States of America
| | - Christopher Charles
- TRIUMF, 4004 Wesbrook Mall, Vancouver, BC V6T 2A3, Canada
- University of Western Ontario, 1151 Richmond St. N., London, Ontario N6A 5B7, Canada
| | - Nike Dattani
- HPQC Labs, Waterloo, Ontario, Canada
- HPQC College, Waterloo, Ontario, Canada
| | - Ruben P de Groote
- Instituut voor Kern- en Stralingsfysica, KU Leuven, Leuven, Belgium
- Department of Physics, University of Jyväskylä, Jyväskylä, Finland
| | - David DeMille
- University of Chicago, Chicago, IL, United States of America
- Argonne National Laboratory, Lemont, IL, United States of America
| | - Timo Dickel
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- II. Physikalisches Institut, Justus-Liebig-Universität Gießen, 35392 Gießen, Germany
| | - Jacek Dobaczewski
- School of Physics, Engineering and Technology, University of York, Heslington, York YO10 5DD, United Kingdom
- Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, ul. Pasteura 5, PL-02-093 Warsaw, Poland
| | - Christoph E Düllmann
- Department of Chemistry-TRIGA Site, Johannes Gutenberg University, Fritz-Strassmann-Weg 2, 55128 Mainz, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Planckstr. 1, 64291 Darmstadt, Germany
- Helmholtz Institute Mainz, Staudingerweg 18, 55128 Mainz, Germany
| | - Ephraim Eliav
- School of Chemistry, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
| | - Jonathan Engel
- Department of Physics and Astronomy, University of North Carolina, Chapel Hill, NC 27599-3255, United States of America
| | - Mingyu Fan
- Department of Physics, University of California, Santa Barbara, CA 93106, United States of America
| | | | - Kieran T Flanagan
- Photon Science Institute, Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
| | - Alyssa N Gaiser
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI 48824, United States of America
| | - Ronald F Garcia Ruiz
- Massachusetts Institute of Technology, Cambridge, MA 02139, United States of America
| | - Konstantin Gaul
- Fachbereich Chemie, Philipps-Universität Marburg, Hans-Meerwein-Straße 4, 35032 Marburg, Germany
| | - Thomas F Giesen
- Institute of Physics, University of Kassel, Heinrich-Plett-Str. 40, 34132 Kassel, Germany
| | - Jacinda S M Ginges
- School of Mathematics and Physics, The University of Queensland, Brisbane QLD 4072, Australia
| | | | - Gerald Gwinner
- Department of Physics and Astronomy, University of Manitoba, Winnipeg, MB R3T 3M9, Canada
| | | | - Steven Hoekstra
- Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, Groningen, The Netherlands
- Nikhef, National Institute for Subatomic Physics, Amsterdam, The Netherlands
| | - Jason D Holt
- TRIUMF, 4004 Wesbrook Mall, Vancouver, BC V6T 2A3, Canada
- Department of Physics, McGill University, Montreal, QC H3A 2T8, Canada
| | - Nicholas R Hutzler
- California Institute of Technology, Pasadena, CA 91125, United States of America
| | - Andrew Jayich
- Department of Physics, University of California, Santa Barbara, CA 93106, United States of America
| | - Jonas Karthein
- Massachusetts Institute of Technology, Cambridge, MA 02139, United States of America
| | - Kyle G Leach
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI 48824, United States of America
- Colorado School of Mines, Golden, CO 80401, United States of America
| | - Kirk W Madison
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T1Z1, Canada
| | - Stephan Malbrunot-Ettenauer
- TRIUMF, 4004 Wesbrook Mall, Vancouver, BC V6T 2A3, Canada
- Department of Physics, University of Toronto, 60 St. George St., Toronto, Ontario, Canada
| | | | - Iain D Moore
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, Jyväskylä 40014, Finland
| | - Scott Moroch
- Massachusetts Institute of Technology, Cambridge, MA 02139, United States of America
| | - Petr Navratil
- TRIUMF, 4004 Wesbrook Mall, Vancouver, BC V6T 2A3, Canada
| | - Witold Nazarewicz
- Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, United States of America
| | - Gerda Neyens
- KU Leuven, Department of Physics and Astronomy, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - Eric B Norrgard
- Sensor Science Division, National Institute of Standards and Technology, Gaithersburg, MD 20899, United States of America
| | - Nicholas Nusgart
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI 48824, United States of America
| | - Lukáš F Pašteka
- Van Swinderen Institute for Particle Physics and Gravity, University of Groningen, Groningen, The Netherlands
- Department of Physical and Theoretical Chemistry, Faculty of Natural Sciences, Comenius University, Bratislava, Slovakia
| | - Alexander N Petrov
- Petersburg Nuclear Physics Institute named by B.P. Konstantinov of National Research Center 'Kurchatov Institute' (NRC 'Kurchatov Institute'-PNPI), 1 Orlova roscha mcr., Gatchina 188300, Leningrad Region, Russia
- Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia
| | - Wolfgang R Plaß
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- II. Physikalisches Institut, Justus-Liebig-Universität Gießen, 35392 Gießen, Germany
| | - Roy A Ready
- Department of Physics, University of California, Santa Barbara, CA 93106, United States of America
| | - Moritz Pascal Reiter
- School of Physics & Astronomy, The University of Edinburgh, Peter Guthrie Tait Road, EH9 3FD Edinburgh, United Kingdom
| | - Mikael Reponen
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, Jyväskylä 40014, Finland
| | | | - Marianna S Safronova
- Department of Physics and Astronomy, University of Delaware, Newark, DE 19716, United States of America
- Joint Quantum Institute, National Institute of Standards and Technology and the University of Maryland, Gaithersburg, MD 20742, United States of America
| | - Christoph Scheidenerger
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- II. Physikalisches Institut, Justus-Liebig-Universität Gießen, 35392 Gießen, Germany
- Helmholtz Forschungsakademie Hessen für FAIR (HFHF), Campus Gießen, Gießen, Germany
| | - Andrea Shindler
- Facility for Rare Isotope Beams & Physics Department, Michigan State University, East Lansing, MI 48824, United States of America
| | - Jaideep T Singh
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI, United States of America
| | - Leonid V Skripnikov
- Petersburg Nuclear Physics Institute named by B.P. Konstantinov of National Research Center 'Kurchatov Institute' (NRC 'Kurchatov Institute'-PNPI), 1 Orlova roscha mcr., Gatchina 188300, Leningrad Region, Russia
- Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia
| | - Anatoly V Titov
- Petersburg Nuclear Physics Institute named by B.P. Konstantinov of National Research Center 'Kurchatov Institute' (NRC 'Kurchatov Institute'-PNPI), 1 Orlova roscha mcr., Gatchina 188300, Leningrad Region, Russia
- Saint Petersburg State University, 7/9 Universitetskaya nab., St. Petersburg 199034, Russia
| | - Silviu-Marian Udrescu
- Massachusetts Institute of Technology, Cambridge, MA 02139, United States of America
| | - Shane G Wilkins
- Massachusetts Institute of Technology, Cambridge, MA 02139, United States of America
| | - Xiaofei Yang
- School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, People's Republic of China
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5
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Ma YZ, Lin Z, Lu BN, Elhatisari S, Lee D, Li N, Meißner UG, Steiner AW, Wang Q. Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions. PHYSICAL REVIEW LETTERS 2024; 132:232502. [PMID: 38905669 DOI: 10.1103/physrevlett.132.232502] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2023] [Revised: 02/27/2024] [Accepted: 05/08/2024] [Indexed: 06/23/2024]
Abstract
We present the first ab initio lattice calculations of spin and density correlations in hot neutron matter using high-fidelity interactions at next-to-next-to-next-to-leading order in chiral effective field theory. These correlations have a large impact on neutrino heating and shock revival in core-collapse supernovae and are encapsulated in functions called structure factors. Unfortunately, calculations of structure factors using high-fidelity chiral interactions were well out of reach using existing computational methods. In this Letter, we solve the problem using a computational approach called the rank-one operator (RO) method. The RO method is a general technique with broad applications to simulations of fermionic many-body systems. It solves the problem of exponential scaling of computational effort when using perturbation theory for higher-body operators and higher-order corrections. Using the RO method, we compute the vector and axial static structure factors for hot neutron matter as a function of temperature and density. The ab initio lattice results are in good agreement with virial expansion calculations at low densities but are more reliable at higher densities. Random phase approximation codes used to estimate neutrino opacity in core-collapse supernovae simulations can now be calibrated with ab initio lattice calculations.
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Affiliation(s)
- Yuan-Zhuo Ma
- Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
- Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, Michigan 48824, USA
| | | | - Bing-Nan Lu
- Graduate School of China Academy of Engineering Physics, Beijing 100193, China
| | | | | | | | - Ulf-G Meißner
- Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, D-53115 Bonn, Germany
- Institute for Advanced Simulation, Institut für Kernphysik, and Jülich Center for Hadron Physics, Forschungszentrum Jülich, D-52425 Jülich, Germany
- Tbilisi State University, 0186 Tbilisi, Georgia
| | | | - Qian Wang
- Key Laboratory of Atomic and Subatomic Structure and Quantum Control (MOE), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
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6
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Acharya B, Hu BS, Bacca S, Hagen G, Navrátil P, Papenbrock T. Magnetic Dipole Transition in ^{48}Ca. PHYSICAL REVIEW LETTERS 2024; 132:232504. [PMID: 38905663 DOI: 10.1103/physrevlett.132.232504] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2023] [Revised: 03/19/2024] [Accepted: 04/24/2024] [Indexed: 06/23/2024]
Abstract
The magnetic dipole transition strength B(M1) of ^{48}Ca is dominated by a single resonant state at an excitation energy of 10.23 MeV. Experiments disagree about B(M1) and this impacts our understanding of spin flips in nuclei. We performed ab initio computations based on chiral effective field theory and found that B(M1: 0^{+}→1^{+}) lies in the range from 7.0 to 10.2 μ_{N}^{2}. This is consistent with a (γ,n) experiment but larger than results from (e,e^{'}) and (p,p^{'}) scattering. Two-body currents yield no quenching of the B(M1) strength and continuum effects reduce it by about 10%. For a validation of our approach, we computed magnetic moments in ^{47,49}Ca and performed benchmark calculations in light nuclei.
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Affiliation(s)
- B Acharya
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - B S Hu
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - S Bacca
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität Mainz, 55128 Mainz, Germany
- Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - P Navrátil
- TRIUMF, Vancouver, British Columbia V6T 2A3, Canada
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
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7
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Elhatisari S, Bovermann L, Ma YZ, Epelbaum E, Frame D, Hildenbrand F, Kim M, Kim Y, Krebs H, Lähde TA, Lee D, Li N, Lu BN, Meißner UG, Rupak G, Shen S, Song YH, Stellin G. Wavefunction matching for solving quantum many-body problems. Nature 2024; 630:59-63. [PMID: 38750357 PMCID: PMC11153134 DOI: 10.1038/s41586-024-07422-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2022] [Accepted: 04/15/2024] [Indexed: 06/07/2024]
Abstract
Ab initio calculations have an essential role in our fundamental understanding of quantum many-body systems across many subfields, from strongly correlated fermions1-3 to quantum chemistry4-6 and from atomic and molecular systems7-9 to nuclear physics10-14. One of the primary challenges is to perform accurate calculations for systems where the interactions may be complicated and difficult for the chosen computational method to handle. Here we address the problem by introducing an approach called wavefunction matching. Wavefunction matching transforms the interaction between particles so that the wavefunctions up to some finite range match that of an easily computable interaction. This allows for calculations of systems that would otherwise be impossible owing to problems such as Monte Carlo sign cancellations. We apply the method to lattice Monte Carlo simulations15,16 of light nuclei, medium-mass nuclei, neutron matter and nuclear matter. We use high-fidelity chiral effective field theory interactions17,18 and find good agreement with empirical data. These results are accompanied by insights on the nuclear interactions that may help to resolve long-standing challenges in accurately reproducing nuclear binding energies, charge radii and nuclear-matter saturation in ab initio calculations19,20.
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Affiliation(s)
- Serdar Elhatisari
- Faculty of Natural Sciences and Engineering, Gaziantep Islam Science and Technology University, Gaziantep, Turkey
- Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, Germany
| | - Lukas Bovermann
- Institut für Theoretische Physik II, Ruhr-Universität Bochum, Bochum, Germany
| | - Yuan-Zhuo Ma
- Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI, USA
- Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou, China
| | - Evgeny Epelbaum
- Institut für Theoretische Physik II, Ruhr-Universität Bochum, Bochum, Germany
| | - Dillon Frame
- Institut für Kernphysik, Institute for Advanced Simulation, Jülich Center for Hadron Physics, Jülich, Germany
- Center for Advanced Simulation and Analytics (CASA), Forschungszentrum Jülich, Jülich, Germany
| | - Fabian Hildenbrand
- Institut für Kernphysik, Institute for Advanced Simulation, Jülich Center for Hadron Physics, Jülich, Germany
- Center for Advanced Simulation and Analytics (CASA), Forschungszentrum Jülich, Jülich, Germany
| | - Myungkuk Kim
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Korea
| | - Youngman Kim
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Korea
| | - Hermann Krebs
- Institut für Theoretische Physik II, Ruhr-Universität Bochum, Bochum, Germany
| | - Timo A Lähde
- Institut für Kernphysik, Institute for Advanced Simulation, Jülich Center for Hadron Physics, Jülich, Germany
- Center for Advanced Simulation and Analytics (CASA), Forschungszentrum Jülich, Jülich, Germany
| | - Dean Lee
- Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, MI, USA.
| | - Ning Li
- School of Physics, Sun Yat-Sen University, Guangzhou, China
| | - Bing-Nan Lu
- Graduate School of China Academy of Engineering Physics, Beijing, China
| | - Ulf-G Meißner
- Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Bonn, Germany
- Institut für Kernphysik, Institute for Advanced Simulation, Jülich Center for Hadron Physics, Jülich, Germany
- Center for Advanced Simulation and Analytics (CASA), Forschungszentrum Jülich, Jülich, Germany
- Tbilisi State University, Tbilisi, Georgia
| | - Gautam Rupak
- Department of Physics and Astronomy and HPC2 Center for Computational Sciences, Mississippi State University, Mississippi State, MI, USA
| | - Shihang Shen
- Institut für Kernphysik, Institute for Advanced Simulation, Jülich Center for Hadron Physics, Jülich, Germany
- Center for Advanced Simulation and Analytics (CASA), Forschungszentrum Jülich, Jülich, Germany
| | - Young-Ho Song
- Institute for Rare Isotope Science, Institute for Basic Science (IBS), Daejeon, Korea
| | - Gianluca Stellin
- ESNT, DRF/IRFU/DPhN/LENA, CEA Paris-Saclay and Université Paris-Saclay, Gif-sur-Yvette, France
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8
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Jensen AB, Højlund MG, Zoccante A, Madsen NK, Christiansen O. Efficient time-dependent vibrational coupled cluster computations with time-dependent basis sets at the two-mode coupling level: Full and hybrid TDMVCC[2]. J Chem Phys 2023; 159:204106. [PMID: 38010335 DOI: 10.1063/5.0175506] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/07/2023] [Accepted: 11/05/2023] [Indexed: 11/29/2023] Open
Abstract
The computation of the nuclear quantum dynamics of molecules is challenging, requiring both accuracy and efficiency to be applicable to systems of interest. Recently, theories have been developed for employing time-dependent basis functions (denoted modals) with vibrational coupled cluster theory (TDMVCC). The TDMVCC method was introduced along with a pilot implementation, which illustrated good accuracy in benchmark computations. In this paper, we report an efficient implementation of TDMVCC, covering the case where the wave function and Hamiltonian contain up to two-mode couplings. After a careful regrouping of terms, the wave function can be propagated with a cubic computational scaling with respect to the number of degrees of freedom. We discuss the use of a restricted set of active one-mode basis functions for each mode, as well as two interesting limits: (i) the use of a full active basis where the variational modal determination amounts essentially to the variational determination of a time-dependent reference state for the cluster expansion; and (ii) the use of a single function as an active basis for some degrees of freedom. The latter case defines a hybrid TDMVCC/TDH (time-dependent Hartree) approach that can obtain even lower computational scaling. The resulting computational scaling for hybrid and full TDMVCC[2] is illustrated for polyaromatic hydrocarbons with up to 264 modes. Finally, computations on the internal vibrational redistribution of benzoic acid (39 modes) are used to show the faster convergence of TDMVCC/TDH hybrid computations towards TDMVCC compared to simple neglect of some degrees of freedom.
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Affiliation(s)
| | - Mads Greisen Højlund
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Alberto Zoccante
- Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale (UPO), Via T. Michel 11, 15100 Alessandria, Italy
| | - Niels Kristian Madsen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Ove Christiansen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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9
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König K, Fritzsche S, Hagen G, Holt JD, Klose A, Lantis J, Liu Y, Minamisono K, Miyagi T, Nazarewicz W, Papenbrock T, Pineda SV, Powel R, Reinhard PG. Surprising Charge-Radius Kink in the Sc Isotopes at N=20. PHYSICAL REVIEW LETTERS 2023; 131:102501. [PMID: 37739365 DOI: 10.1103/physrevlett.131.102501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/20/2023] [Revised: 05/10/2023] [Accepted: 06/21/2023] [Indexed: 09/24/2023]
Abstract
Charge radii of neutron deficient ^{40}Sc and ^{41}Sc nuclei were determined using collinear laser spectroscopy. With the new data, the chain of Sc charge radii extends below the neutron magic number N=20 and shows a pronounced kink, generally taken as a signature of a shell closure, but one notably absent in the neighboring Ca, K, and Ar isotopic chains. Theoretical models that explain the trend at N=20 for the Ca isotopes cannot reproduce this puzzling behavior.
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Affiliation(s)
- Kristian König
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Nuclear Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - Stephan Fritzsche
- Helmholtz Institute Jena, 07743 Jena, Germany
- Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, 07743 Jena, Germany
| | - Gaute Hagen
- Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - Jason D Holt
- TRIUMF, Vancouver, British Colombia, V6T 2A3, Canada
- Department of Physics, McGill University, Montréal, Quebec, H3A 2T8, Canada
| | - Andrew Klose
- Department of Chemistry and Biochemistry, Augustana University, Sioux Falls, South Dakota 57197, USA
| | - Jeremy Lantis
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Yuan Liu
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
| | - Kei Minamisono
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Takayuki Miyagi
- Department of Nuclear Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - Witold Nazarewicz
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Thomas Papenbrock
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - Skyy V Pineda
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Robert Powel
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
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10
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Gururangan K, Piecuch P. Converging high-level coupled-cluster energetics via adaptive selection of excitation manifolds driven by moment expansions. J Chem Phys 2023; 159:084108. [PMID: 37610021 DOI: 10.1063/5.0162873] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/16/2023] [Accepted: 08/03/2023] [Indexed: 08/24/2023] Open
Abstract
A novel approach to rapidly converging high-level coupled-cluster (CC) energetics in an automated fashion is proposed. The key idea is an adaptive selection of excitation manifolds defining higher--than--two-body components of the cluster operator inspired by CC(P;Q) moment expansions. The usefulness of the resulting methodology is illustrated by molecular examples where the goal is to recover the electronic energies obtained using the CC method with a full treatment of singly, doubly, and triply excited clusters (CCSDT) when the noniterative triples corrections to CCSD fail.
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Affiliation(s)
- Karthik Gururangan
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
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11
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Kondo Y, Achouri NL, Falou HA, Atar L, Aumann T, Baba H, Boretzky K, Caesar C, Calvet D, Chae H, Chiga N, Corsi A, Delaunay F, Delbart A, Deshayes Q, Dombrádi Z, Douma CA, Ekström A, Elekes Z, Forssén C, Gašparić I, Gheller JM, Gibelin J, Gillibert A, Hagen G, Harakeh MN, Hirayama A, Hoffman CR, Holl M, Horvat A, Horváth Á, Hwang JW, Isobe T, Jiang WG, Kahlbow J, Kalantar-Nayestanaki N, Kawase S, Kim S, Kisamori K, Kobayashi T, Körper D, Koyama S, Kuti I, Lapoux V, Lindberg S, Marqués FM, Masuoka S, Mayer J, Miki K, Murakami T, Najafi M, Nakamura T, Nakano K, Nakatsuka N, Nilsson T, Obertelli A, Ogata K, de Oliveira Santos F, Orr NA, Otsu H, Otsuka T, Ozaki T, Panin V, Papenbrock T, Paschalis S, Revel A, Rossi D, Saito AT, Saito TY, Sasano M, Sato H, Satou Y, Scheit H, Schindler F, Schrock P, Shikata M, Shimizu N, Shimizu Y, Simon H, Sohler D, Sorlin O, Stuhl L, Sun ZH, Takeuchi S, Tanaka M, Thoennessen M, Törnqvist H, Togano Y, Tomai T, Tscheuschner J, Tsubota J, Tsunoda N, Uesaka T, Utsuno Y, Vernon I, Wang H, Yang Z, Yasuda M, Yoneda K, Yoshida S. First observation of 28O. Nature 2023; 620:965-970. [PMID: 37648757 PMCID: PMC10630140 DOI: 10.1038/s41586-023-06352-6] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/13/2022] [Accepted: 06/21/2023] [Indexed: 09/01/2023]
Abstract
Subjecting a physical system to extreme conditions is one of the means often used to obtain a better understanding and deeper insight into its organization and structure. In the case of the atomic nucleus, one such approach is to investigate isotopes that have very different neutron-to-proton (N/Z) ratios than in stable nuclei. Light, neutron-rich isotopes exhibit the most asymmetric N/Z ratios and those lying beyond the limits of binding, which undergo spontaneous neutron emission and exist only as very short-lived resonances (about 10-21 s), provide the most stringent tests of modern nuclear-structure theories. Here we report on the first observation of 28O and 27O through their decay into 24O and four and three neutrons, respectively. The 28O nucleus is of particular interest as, with the Z = 8 and N = 20 magic numbers1,2, it is expected in the standard shell-model picture of nuclear structure to be one of a relatively small number of so-called 'doubly magic' nuclei. Both 27O and 28O were found to exist as narrow, low-lying resonances and their decay energies are compared here to the results of sophisticated theoretical modelling, including a large-scale shell-model calculation and a newly developed statistical approach. In both cases, the underlying nuclear interactions were derived from effective field theories of quantum chromodynamics. Finally, it is shown that the cross-section for the production of 28O from a 29F beam is consistent with it not exhibiting a closed N = 20 shell structure.
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Affiliation(s)
- Y Kondo
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan.
- RIKEN Nishina Center, Saitama, Japan.
| | - N L Achouri
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - H Al Falou
- Lebanese University, Beirut, Lebanon
- Lebanese-French University of Technology and Applied Sciences, Deddeh, Lebanon
| | - L Atar
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - T Aumann
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
- Helmholtz Research Academy Hesse for FAIR, Darmstadt, Germany
| | - H Baba
- RIKEN Nishina Center, Saitama, Japan
| | - K Boretzky
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - C Caesar
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - D Calvet
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - H Chae
- Institute for Basic Science, Daejeon, Republic of Korea
| | - N Chiga
- RIKEN Nishina Center, Saitama, Japan
| | - A Corsi
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - F Delaunay
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - A Delbart
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - Q Deshayes
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | | | - C A Douma
- ESRIG, University of Groningen, Groningen, The Netherlands
| | - A Ekström
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | | | - C Forssén
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - I Gašparić
- RIKEN Nishina Center, Saitama, Japan
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- Ruđer Bošković Institute, Zagreb, Croatia
| | - J-M Gheller
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - J Gibelin
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - A Gillibert
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, USA
| | - M N Harakeh
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
- ESRIG, University of Groningen, Groningen, The Netherlands
| | - A Hirayama
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - C R Hoffman
- Physics Division, Argonne National Laboratory, Argonne, IL, USA
| | - M Holl
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - A Horvat
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - Á Horváth
- Eötvös Loránd University, Budapest, Hungary
| | - J W Hwang
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Republic of Korea
- Department of Physics and Astronomy, Seoul National University, Seoul, Republic of Korea
| | - T Isobe
- RIKEN Nishina Center, Saitama, Japan
| | - W G Jiang
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - J Kahlbow
- RIKEN Nishina Center, Saitama, Japan
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | | | - S Kawase
- Department of Advanced Energy Engineering Science, Kyushu University, Fukuoka, Japan
| | - S Kim
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Republic of Korea
- Department of Physics and Astronomy, Seoul National University, Seoul, Republic of Korea
| | | | - T Kobayashi
- Department of Physics, Tohoku University, Miyagi, Japan
| | - D Körper
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - S Koyama
- Department of Physics, The University of Tokyo, Tokyo, Japan
| | - I Kuti
- Atomki, Debrecen, Hungary
| | - V Lapoux
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - S Lindberg
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - F M Marqués
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - S Masuoka
- Center for Nuclear Study, The University of Tokyo, Saitama, Japan
| | - J Mayer
- Institut für Kernphysik, Universität zu Köln, Köln, Germany
| | - K Miki
- Department of Physics, Tohoku University, Miyagi, Japan
| | - T Murakami
- Department of Physics, Kyoto University, Kyoto, Japan
| | - M Najafi
- ESRIG, University of Groningen, Groningen, The Netherlands
| | - T Nakamura
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
- RIKEN Nishina Center, Saitama, Japan
| | - K Nakano
- Department of Advanced Energy Engineering Science, Kyushu University, Fukuoka, Japan
| | - N Nakatsuka
- Department of Physics, Kyoto University, Kyoto, Japan
| | - T Nilsson
- Institutionen för Fysik, Chalmers Tekniska Högskola, Göteborg, Sweden
| | - A Obertelli
- Irfu, CEA, Université Paris-Saclay, Gif-sur-Yvette, France
| | - K Ogata
- Department of Physics, Kyushu University, Fukuoka, Japan
- Research Center for Nuclear Physics, Osaka University, Osaka, Japan
- Department of Physics, Osaka City University, Osaka, Japan
| | - F de Oliveira Santos
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Caen, France
| | - N A Orr
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
| | - H Otsu
- RIKEN Nishina Center, Saitama, Japan
| | - T Otsuka
- RIKEN Nishina Center, Saitama, Japan
- Department of Physics, The University of Tokyo, Tokyo, Japan
| | - T Ozaki
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - V Panin
- RIKEN Nishina Center, Saitama, Japan
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, USA
| | - S Paschalis
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - A Revel
- LPC Caen UMR6534, Université de Caen Normandie, ENSICAEN, CNRS/IN2P3, Caen, France
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Caen, France
| | - D Rossi
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - A T Saito
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - T Y Saito
- Department of Physics, The University of Tokyo, Tokyo, Japan
| | - M Sasano
- RIKEN Nishina Center, Saitama, Japan
| | - H Sato
- RIKEN Nishina Center, Saitama, Japan
| | - Y Satou
- Department of Physics and Astronomy, Seoul National University, Seoul, Republic of Korea
| | - H Scheit
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - F Schindler
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - P Schrock
- Center for Nuclear Study, The University of Tokyo, Saitama, Japan
| | - M Shikata
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - N Shimizu
- Center for Computational Sciences, University of Tsukuba, Ibaraki, Japan
| | - Y Shimizu
- RIKEN Nishina Center, Saitama, Japan
| | - H Simon
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | | | - O Sorlin
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DRF-CNRS/IN2P3, Caen, France
| | - L Stuhl
- RIKEN Nishina Center, Saitama, Japan
- Center for Exotic Nuclear Studies, Institute for Basic Science, Daejeon, Republic of Korea
| | - Z H Sun
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, USA
| | - S Takeuchi
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - M Tanaka
- Department of Physics, Osaka University, Osaka, Japan
| | - M Thoennessen
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, MI, USA
| | - H Törnqvist
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
- GSI Helmholtzzentrum für Schwerionenforschung, Darmstadt, Germany
| | - Y Togano
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
- Department of Physics, Rikkyo University, Tokyo, Japan
| | - T Tomai
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - J Tscheuschner
- Institut für Kernphysik, Technische Universität Darmstadt, Darmstadt, Germany
| | - J Tsubota
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - N Tsunoda
- Center for Nuclear Study, The University of Tokyo, Saitama, Japan
| | - T Uesaka
- RIKEN Nishina Center, Saitama, Japan
| | - Y Utsuno
- Advanced Science Research Center, Japan Atomic Energy Agency, Ibaraki, Japan
| | - I Vernon
- Department of Mathematical Sciences, Durham University, Durham, UK
| | - H Wang
- RIKEN Nishina Center, Saitama, Japan
| | - Z Yang
- RIKEN Nishina Center, Saitama, Japan
| | - M Yasuda
- Department of Physics, Tokyo Institute of Technology, Tokyo, Japan
| | - K Yoneda
- RIKEN Nishina Center, Saitama, Japan
| | - S Yoshida
- Liberal and General Education Center, Institute for Promotion of Higher Academic Education, Utsunomiya University, Tochigi, Japan
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12
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Miyagi T. NuHamil : A numerical code to generate nuclear two- and three-body matrix elements from chiral effective field theory. THE EUROPEAN PHYSICAL JOURNAL. A, HADRONS AND NUCLEI 2023; 59:150. [PMID: 37431444 PMCID: PMC10329629 DOI: 10.1140/epja/s10050-023-01039-y] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 02/17/2023] [Accepted: 05/23/2023] [Indexed: 07/12/2023]
Abstract
The applicability of nuclear ab initio calculations has rapidly extended over the past decades. However, starting research projects is still challenging due to the required numerical expertise in the generation of underlying nuclear interaction matrix elements and many-body calculations. To ease the first issue, in this paper we introduce the numerical code NuHamil to generate the nucleon-nucleon (NN) and three-nucleon (3N) matrix elements expressed in a spherical harmonic-oscillator basis, inputs of many-body calculations. The ground-state energies for the selected doubly closed shell nuclei are calculated with the no-core shell-model (NCSM) and in-medium similarity renormalization group (IMSRG). The code is written in modern Fortran, and OpenMP+MPI hybrid parallelization is available for the 3N matrix-element calculations.
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Affiliation(s)
- Takayuki Miyagi
- Department of Physics, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
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13
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Giraud S, Zamora JC, Zegers RGT, Bazin D, Ayyad Y, Bacca S, Beceiro-Novo S, Brown BA, Carls A, Chen J, Cortesi M, DeNudt M, Hagen G, Hultquist C, Maher C, Mittig W, Ndayisabye F, Noji S, Novario SJ, Pereira J, Rahman Z, Schmitt J, Serikow M, Sun LJ, Surbrook J, Watwood N, Wheeler T. β^{+} Gamow-Teller Strengths from Unstable ^{14}O via the (d,^{2}He) Reaction in Inverse Kinematics. PHYSICAL REVIEW LETTERS 2023; 130:232301. [PMID: 37354417 DOI: 10.1103/physrevlett.130.232301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/27/2022] [Revised: 04/14/2023] [Accepted: 05/05/2023] [Indexed: 06/26/2023]
Abstract
For the first time, the (d,^{2}He) reaction was successfully used in inverse kinematics to extract the Gamow-Teller transition strength in the β^{+} direction from an unstable nucleus. The new technique was made possible by the use of an active-target time-projection chamber and a magnetic spectrometer, and opens a path to addressing a range of scientific challenges, including in astrophysics and neutrino physics. In this Letter, the nucleus studied was ^{14}O, and the Gamow-Teller transition strength to ^{14}N was extracted up to an excitation energy of 22 MeV. The data were compared to shell-model and state-of-the-art coupled-cluster calculations. Shell-model calculations reproduce the measured Gamow-Teller strength distribution up to about 15 MeV reasonably well, after the application of a phenomenological quenching factor. In a significant step forward to better understand this quenching, the coupled-cluster calculation reproduces the full strength distribution well without such quenching, owing to the large model space, the inclusion of strong correlations, and the coupling of the weak interaction to two nucleons through two-body currents.
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Affiliation(s)
- S Giraud
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - J C Zamora
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
| | - R G T Zegers
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - D Bazin
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Y Ayyad
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- IGFAE, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain
| | - S Bacca
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
- Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - S Beceiro-Novo
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
- CITENI, Campus Industrial de Ferrol, Universidade da Coruña, Campus de Esteiro, 15403 Ferrol, Spain
| | - B A Brown
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - A Carls
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - J Chen
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Physics Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - M Cortesi
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
| | - M DeNudt
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - C Hultquist
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - C Maher
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - W Mittig
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - F Ndayisabye
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - S Noji
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
| | - S J Novario
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - J Pereira
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
| | - Z Rahman
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - J Schmitt
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - M Serikow
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - L J Sun
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
| | - J Surbrook
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - N Watwood
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - T Wheeler
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Joint Institute for Nuclear Astrophysics: Center for the Evolution of the Elements, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
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14
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Rigo M, Hall B, Hjorth-Jensen M, Lovato A, Pederiva F. Solving the nuclear pairing model with neural network quantum states. Phys Rev E 2023; 107:025310. [PMID: 36932590 DOI: 10.1103/physreve.107.025310] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2022] [Accepted: 02/10/2023] [Indexed: 06/18/2023]
Abstract
We present a variational Monte Carlo method that solves the nuclear many-body problem in the occupation number formalism exploiting an artificial neural network representation of the ground-state wave function. A memory-efficient version of the stochastic reconfiguration algorithm is developed to train the network by minimizing the expectation value of the Hamiltonian. We benchmark this approach against widely used nuclear many-body methods by solving a model used to describe pairing in nuclei for different types of interaction and different values of the interaction strength. Despite its polynomial computational cost, our method outperforms coupled-cluster and provides energies that are in excellent agreement with the numerically exact full configuration-interaction values.
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Affiliation(s)
- Mauro Rigo
- Physics Department, University of Trento, via Sommarive 14, I-38123 Trento, Italy
| | - Benjamin Hall
- Department of Physics and Astronomy and Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
| | - Morten Hjorth-Jensen
- Department of Physics and Astronomy and Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Center for Computing in Science Education, University of Oslo, N-0316 Oslo, Norway
| | - Alessandro Lovato
- Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
- Computational Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
- INFN-TIFPA Trento Institute for Fundamental Physics and Applications, Via Sommarive, 14, 38123 Trento, Italy
| | - Francesco Pederiva
- Physics Department, University of Trento, via Sommarive 14, I-38123 Trento, Italy
- INFN-TIFPA Trento Institute for Fundamental Physics and Applications, Via Sommarive, 14, 38123 Trento, Italy
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15
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Novario SJ, Lonardoni D, Gandolfi S, Hagen G. Trends of Neutron Skins and Radii of Mirror Nuclei from First Principles. PHYSICAL REVIEW LETTERS 2023; 130:032501. [PMID: 36763401 DOI: 10.1103/physrevlett.130.032501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/02/2021] [Revised: 04/04/2022] [Accepted: 12/13/2022] [Indexed: 06/18/2023]
Abstract
The neutron skin of atomic nuclei impacts the structure of neutron-rich nuclei, the equation of state of nucleonic matter, and the size of neutron stars. Here we predict the neutron skin of selected light- and medium-mass nuclei using coupled-cluster theory and the auxiliary field diffusion Monte Carlo method with two- and three-nucleon forces from chiral effective field theory. We find a linear correlation between the neutron skin and the isospin asymmetry in agreement with the liquid-drop model and compare with data. We also extract the linear relationship that describes the difference between neutron and proton radii of mirror nuclei and quantify the effect of charge symmetry breaking terms in the nuclear Hamiltonian. Our results for the mirror-difference charge radii and binding energies per nucleon agree with existing data.
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Affiliation(s)
- S J Novario
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - D Lonardoni
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - S Gandolfi
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
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16
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Hu B, Jiang W, Miyagi T, Sun Z, Ekström A, Forssén C, Hagen G, Holt JD, Papenbrock T, Stroberg SR, Vernon I. Ab initio predictions link the neutron skin of 208Pb to nuclear forces. NATURE PHYSICS 2022; 18:1196-1200. [PMID: 36217363 PMCID: PMC9537109 DOI: 10.1038/s41567-022-01715-8] [Citation(s) in RCA: 8] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/23/2021] [Accepted: 07/11/2022] [Indexed: 05/14/2023]
Abstract
Heavy atomic nuclei have an excess of neutrons over protons, which leads to the formation of a neutron skin whose thickness is sensitive to details of the nuclear force. This links atomic nuclei to properties of neutron stars, thereby relating objects that differ in size by orders of magnitude. The nucleus 208Pb is of particular interest because it exhibits a simple structure and is experimentally accessible. However, computing such a heavy nucleus has been out of reach for ab initio theory. By combining advances in quantum many-body methods, statistical tools and emulator technology, we make quantitative predictions for the properties of 208Pb starting from nuclear forces that are consistent with symmetries of low-energy quantum chromodynamics. We explore 109 different nuclear force parameterizations via history matching, confront them with data in select light nuclei and arrive at an importance-weighted ensemble of interactions. We accurately reproduce bulk properties of 208Pb and determine the neutron skin thickness, which is smaller and more precise than a recent extraction from parity-violating electron scattering but in agreement with other experimental probes. This work demonstrates how realistic two- and three-nucleon forces act in a heavy nucleus and allows us to make quantitative predictions across the nuclear landscape.
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Affiliation(s)
- Baishan Hu
- TRIUMF, Vancouver, British Columbia Canada
| | - Weiguang Jiang
- Department of Physics, Chalmers University of Technology, Gothenburg, Sweden
| | - Takayuki Miyagi
- TRIUMF, Vancouver, British Columbia Canada
- Department of Physics, Technische Universität Darmstadt, Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, Darmstadt, Germany
| | - Zhonghao Sun
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN USA
| | - Andreas Ekström
- Department of Physics, Chalmers University of Technology, Gothenburg, Sweden
| | - Christian Forssén
- Department of Physics, Chalmers University of Technology, Gothenburg, Sweden
| | - Gaute Hagen
- TRIUMF, Vancouver, British Columbia Canada
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN USA
| | - Jason D. Holt
- TRIUMF, Vancouver, British Columbia Canada
- Department of Physics, McGill University, Montreal, Quebec Canada
| | - Thomas Papenbrock
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN USA
| | - S. Ragnar Stroberg
- Department of Physics, University of Washington, Seattle, WA USA
- Physics Division, Argonne National Laboratory, Lemont, IL USA
| | - Ian Vernon
- Department of Mathematical Sciences, Durham University, Durham, UK
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17
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Zhang S, Cheng Z, Li J, Xu Z, Xu F. 含手征三体力的第一性原理Gamow壳模型计算<sup>14</sup>O同中子素. CHINESE SCIENCE BULLETIN-CHINESE 2022. [DOI: 10.1360/tb-2022-0432] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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18
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Malbrunot-Ettenauer S, Kaufmann S, Bacca S, Barbieri C, Billowes J, Bissell ML, Blaum K, Cheal B, Duguet T, Ruiz RFG, Gins W, Gorges C, Hagen G, Heylen H, Holt JD, Jansen GR, Kanellakopoulos A, Kortelainen M, Miyagi T, Navrátil P, Nazarewicz W, Neugart R, Neyens G, Nörtershäuser W, Novario SJ, Papenbrock T, Ratajczyk T, Reinhard PG, Rodríguez LV, Sánchez R, Sailer S, Schwenk A, Simonis J, Somà V, Stroberg SR, Wehner L, Wraith C, Xie L, Xu ZY, Yang XF, Yordanov DT. Nuclear Charge Radii of the Nickel Isotopes ^{58-68,70}Ni. PHYSICAL REVIEW LETTERS 2022; 128:022502. [PMID: 35089728 DOI: 10.1103/physrevlett.128.022502] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2021] [Revised: 10/05/2021] [Accepted: 10/22/2021] [Indexed: 06/14/2023]
Abstract
Collinear laser spectroscopy is performed on the nickel isotopes ^{58-68,70}Ni, using a time-resolved photon counting system. From the measured isotope shifts, nuclear charge radii R_{c} are extracted and compared to theoretical results. Three ab initio approaches all employ, among others, the chiral interaction NNLO_{sat}, which allows an assessment of their accuracy. We find agreement with experiment in differential radii δ⟨r_{c}^{2}⟩ for all employed ab initio methods and interactions, while the absolute radii are consistent with data only for NNLO_{sat}. Within nuclear density functional theory, the Skyrme functional SV-min matches experiment more closely than the Fayans functional Fy(Δr,HFB).
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Affiliation(s)
| | - S Kaufmann
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - S Bacca
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
- Helmholtz-Institut Mainz, GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - C Barbieri
- Department of Physics, University of Surrey, Guildford, GU2 7XH, United Kingdom
- Dipartimento di Fisica, Università degli Studi di Milano, Via Celoria 16, 20133 Milano, Italy
- INFN, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
| | - J Billowes
- School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom
| | - M L Bissell
- School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom
| | - K Blaum
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
| | - B Cheal
- Oliver Lodge Laboratory, University of Liverpool, Oxford Street, Liverpool L69 7ZE, United Kingdom
| | - T Duguet
- IRFU, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - R F Garcia Ruiz
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
- School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom
| | - W Gins
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - C Gorges
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - H Heylen
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
| | - J D Holt
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics, McGill University, Montréal, Quebec H3A 2T8, Canada
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - A Kanellakopoulos
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - M Kortelainen
- Department of Physics, University of Jyväskylä, P.O. Box 35 (YFL), FI-40014 University of Jyväskylä, Finland
| | - T Miyagi
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - P Navrátil
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - W Nazarewicz
- Department of Physics and Astronomy and FRIB Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
| | - R Neugart
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
- Institut für Kernchemie, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
| | - G Neyens
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - W Nörtershäuser
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - S J Novario
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - T Ratajczyk
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
| | - P-G Reinhard
- Institut für Theoretische Physik II, Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
| | - L V Rodríguez
- Experimental Physics Department, CERN, CH-1211 Geneva 23, Switzerland
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay, France
| | - R Sánchez
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - S Sailer
- Technische Universität München, D-80333 München, Germany
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, D-69117 Heidelberg, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - J Simonis
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
| | - V Somà
- IRFU, CEA, Université Paris-Saclay, 91191 Gif-sur-Yvette, France
| | - S R Stroberg
- Department of Physics, University of Washington, Seattle, Washington, D.C. 98195, USA
| | - L Wehner
- Institut für Kernchemie, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany
| | - C Wraith
- Oliver Lodge Laboratory, University of Liverpool, Oxford Street, Liverpool L69 7ZE, United Kingdom
| | - L Xie
- School of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom
| | - Z Y Xu
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
| | - X F Yang
- KU Leuven, Instituut voor Kern- en Stralingsfysica, B-3001 Leuven, Belgium
- School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
| | - D T Yordanov
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay, France
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19
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Sobczyk JE, Acharya B, Bacca S, Hagen G. Ab Initio Computation of the Longitudinal Response Function in ^{40}Ca. PHYSICAL REVIEW LETTERS 2021; 127:072501. [PMID: 34459650 DOI: 10.1103/physrevlett.127.072501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2021] [Revised: 06/04/2021] [Accepted: 06/21/2021] [Indexed: 06/13/2023]
Abstract
We present a consistent ab initio computation of the longitudinal response function R_{L} in ^{40}Ca using the coupled-cluster and Lorentz integral transform methods starting from chiral nucleon-nucleon and three-nucleon interactions. We validate our approach by comparing our results for R_{L} in ^{4}He and the Coulomb sum rule in ^{40}Ca against experimental data and other calculations. For R_{L} in ^{40}Ca we obtain a very good agreement with experiment in the quasielastic peak up to intermediate momentum transfers, and we find that final state interactions are essential for an accurate description of the data. This work presents a milestone towards ab initio computations of neutrino-nucleus cross sections relevant for experimental long-baseline neutrino programs.
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Affiliation(s)
- J E Sobczyk
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
| | - B Acharya
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
| | - S Bacca
- Institut für Kernphysik and PRISMA+ Cluster of Excellence, Johannes Gutenberg-Universität, 55128 Mainz, Germany
- Helmholtz-Institut Mainz, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
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20
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Adams C, Carleo G, Lovato A, Rocco N. Variational Monte Carlo Calculations of A≤4 Nuclei with an Artificial Neural-Network Correlator Ansatz. PHYSICAL REVIEW LETTERS 2021; 127:022502. [PMID: 34296893 DOI: 10.1103/physrevlett.127.022502] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/03/2020] [Revised: 04/13/2021] [Accepted: 05/25/2021] [Indexed: 06/13/2023]
Abstract
The complexity of many-body quantum wave functions is a central aspect of several fields of physics and chemistry where nonperturbative interactions are prominent. Artificial neural networks (ANNs) have proven to be a flexible tool to approximate quantum many-body states in condensed matter and chemistry problems. In this work we introduce a neural-network quantum state ansatz to model the ground-state wave function of light nuclei, and approximately solve the nuclear many-body Schrödinger equation. Using efficient stochastic sampling and optimization schemes, our approach extends pioneering applications of ANNs in the field, which present exponentially scaling algorithmic complexity. We compute the binding energies and point-nucleon densities of A≤4 nuclei as emerging from a leading-order pionless effective field theory Hamiltonian. We successfully benchmark the ANN wave function against more conventional parametrizations based on two- and three-body Jastrow functions, and virtually exact Green's function Monte Carlo results.
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Affiliation(s)
- Corey Adams
- Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
- Leadership Computing Facility, Argonne National Laboratory, Argonne, Illinois 60439
| | - Giuseppe Carleo
- Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne, Switzerland
| | - Alessandro Lovato
- Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
- INFN-TIFPA Trento Institute of Fundamental Physics and Applications, 38123 Trento, Italy
| | - Noemi Rocco
- Theoretical Physics Department, Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510, USA
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21
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Novario S, Gysbers P, Engel J, Hagen G, Jansen GR, Morris TD, Navrátil P, Papenbrock T, Quaglioni S. Coupled-Cluster Calculations of Neutrinoless Double-β Decay in ^{48}Ca. PHYSICAL REVIEW LETTERS 2021; 126:182502. [PMID: 34018796 DOI: 10.1103/physrevlett.126.182502] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/23/2020] [Revised: 01/15/2021] [Accepted: 04/06/2021] [Indexed: 06/12/2023]
Abstract
We use coupled-cluster theory and nuclear interactions from chiral effective field theory to compute the nuclear matrix element for the neutrinoless double-β decay of ^{48}Ca. Benchmarks with the no-core shell model in several light nuclei inform us about the accuracy of our approach. For ^{48}Ca we find a relatively small matrix element. We also compute the nuclear matrix element for the two-neutrino double-β decay of ^{48}Ca with a quenching factor deduced from two-body currents in recent ab initio calculation of the Ikeda sum rule in ^{48}Ca [Gysbers et al., Nat. Phys. 15, 428 (2019)NPAHAX1745-247310.1038/s41567-019-0450-7].
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Affiliation(s)
- S Novario
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - P Gysbers
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - J Engel
- Department of Physics, University of North Carolina, Chapel Hill, North Carolina 27514, USA
| | - G Hagen
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - T D Morris
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - P Navrátil
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - T Papenbrock
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - S Quaglioni
- Lawrence Livermore National Laboratory, P.O. Box 808, L-414, Livermore, California 94551, USA
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22
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Deustua JE, Shen J, Piecuch P. High-level coupled-cluster energetics by Monte Carlo sampling and moment expansions: Further details and comparisons. J Chem Phys 2021; 154:124103. [PMID: 33810702 DOI: 10.1063/5.0045468] [Citation(s) in RCA: 7] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
Abstract
We recently proposed a novel approach to converging electronic energies equivalent to high-level coupled-cluster (CC) computations by combining the deterministic CC(P;Q) formalism with the stochastic configuration interaction (CI) and CC Quantum Monte Carlo (QMC) propagations. This article extends our initial study [J. E. Deustua, J. Shen, and P. Piecuch, Phys. Rev. Lett. 119, 223003 (2017)], which focused on recovering the energies obtained with the CC method with singles, doubles, and triples (CCSDT) using the information extracted from full CI QMC and CCSDT-MC, to the CIQMC approaches truncated at triples and quadruples. It also reports our first semi-stochastic CC(P;Q) calculations aimed at converging the energies that correspond to the CC method with singles, doubles, triples, and quadruples (CCSDTQ). The ability of the semi-stochastic CC(P;Q) formalism to recover the CCSDT and CCSDTQ energies, even when electronic quasi-degeneracies and triply and quadruply excited clusters become substantial, is illustrated by a few numerical examples, including the F-F bond breaking in F2, the automerization of cyclobutadiene, and the double dissociation of the water molecule.
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Affiliation(s)
- J Emiliano Deustua
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Jun Shen
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
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23
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Belley A, Payne CG, Stroberg SR, Miyagi T, Holt JD. Ab Initio Neutrinoless Double-Beta Decay Matrix Elements for ^{48}Ca, ^{76}Ge, and ^{82}Se. PHYSICAL REVIEW LETTERS 2021; 126:042502. [PMID: 33576665 DOI: 10.1103/physrevlett.126.042502] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/21/2020] [Revised: 10/21/2020] [Accepted: 01/07/2021] [Indexed: 06/12/2023]
Abstract
We calculate basis-space converged neutrinoless ββ-decay nuclear matrix elements for the lightest candidates: ^{48}Ca, ^{76}Ge, and ^{82}Se. Starting from initial two- and three-nucleon forces, we apply the ab initio in-medium similarity renormalization group to construct valence-space Hamiltonians and consistently transformed ββ-decay operators. We find that the tensor component is non-negligible in ^{76}Ge and ^{82}Se, and the resulting nuclear matrix elements are overall 25%-45% smaller than those obtained from the phenomenological shell model. While a final matrix element with uncertainties still requires substantial developments, this work nevertheless opens a path toward a true first-principles calculation of neutrinoless ββ decay in all nuclei relevant for ongoing large-scale searches.
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Affiliation(s)
- A Belley
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics, McGill University, 3600 Rue University, Montréal, Quebec City H3A 2T8, Canada
- Department of Physics & Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - C G Payne
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics & Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - S R Stroberg
- Department of Physics, University of Washington, Seattle, Washington 98195, USA
| | - T Miyagi
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - J D Holt
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics, McGill University, 3600 Rue University, Montréal, Quebec City H3A 2T8, Canada
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24
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Stroberg SR, Holt JD, Schwenk A, Simonis J. Ab Initio Limits of Atomic Nuclei. PHYSICAL REVIEW LETTERS 2021; 126:022501. [PMID: 33512176 DOI: 10.1103/physrevlett.126.022501] [Citation(s) in RCA: 19] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/25/2019] [Revised: 10/05/2020] [Accepted: 11/18/2020] [Indexed: 06/12/2023]
Abstract
We predict the limits of existence of atomic nuclei, the proton and neutron drip lines, from the light through medium-mass regions. Starting from a chiral two- and three-nucleon interaction with good saturation properties, we use the valence-space in-medium similarity renormalization group to calculate ground-state and separation energies from helium to iron, nearly 700 isotopes in total. We use the available experimental data to quantify the theoretical uncertainties for our ab initio calculations towards the drip lines. Where the drip lines are known experimentally, our predictions are consistent within the estimated uncertainty. For the neutron-rich sodium to chromium isotopes, we provide predictions to be tested at rare-isotope beam facilities.
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Affiliation(s)
- S R Stroberg
- Department of Physics, University of Washington, Seattle, Washington 98195, USA
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - J D Holt
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics, McGill University, 3600 Rue University, Montréal, Quebec H3A 2T8, Canada
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - J Simonis
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Institut für Kernphysik and PRISMA Cluster of Excellence, Johannes Gutenberg-Universität, 55099 Mainz, Germany
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25
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Ring P, Wang S, Zhao Q, Meng J. Relativistic Brueckner-Hartree-Fock Theory in Infinite Nuclear Matter. EPJ WEB OF CONFERENCES 2021. [DOI: 10.1051/epjconf/202125202001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
On the way of a microscopic derivation of covariant density functionals, the first complete solution of the relativistic Brueckner-Hartree-Fock (RBHF) equations is presented for symmetric nuclear matter. In most of the earlier investigations, the G-matrix is calculated only in the space of positive energy solutions. On the other side, for the solution of the relativistic Hartree-Fock (RHF) equations, also the elements of this matrix connecting positive and negative energy solutions are required. So far, in the literature, these matrix elements are derived in various approximations. We discuss solutions of the Thompson equation for the full Dirac space and compare the resulting equation of state with those of earlier attempts in this direction.
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26
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Zhang X, Stroberg SR, Navrátil P, Gwak C, Melendez JA, Furnstahl RJ, Holt JD. Ab Initio Calculations of Low-Energy Nuclear Scattering Using Confining Potential Traps. PHYSICAL REVIEW LETTERS 2020; 125:112503. [PMID: 32975962 DOI: 10.1103/physrevlett.125.112503] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/06/2020] [Revised: 06/30/2020] [Accepted: 08/12/2020] [Indexed: 06/11/2023]
Abstract
A recently modified method to enable low-energy nuclear scattering results to be extracted from the discrete energy levels of the target-projectile clusters confined by harmonic potential traps is tested. We report encouraging results for neutron-α and neutron-^{24}O elastic scattering from analyzing the trapped levels computed using two different ab initio nuclear structure methods. The n-α results have also been checked against a direct ab initio reaction calculation. The n-^{24}O results demonstrate the approach's applicability for a large range of systems provided their spectra in traps can be computed by ab initio methods. A key ingredient is a rigorous understanding of the errors in the calculated energy levels caused by inevitable Hilbert-space truncations in the ab initio methods.
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Affiliation(s)
- Xilin Zhang
- Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
| | - S R Stroberg
- Physics Department, University of Washington, Seattle, Washington 98195, USA
| | - P Navrátil
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - Chan Gwak
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - J A Melendez
- Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
| | - R J Furnstahl
- Department of Physics, The Ohio State University, Columbus, Ohio 43210, USA
| | - J D Holt
- TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics, McGill University, 3600 Rue University, Montréal, Quebec City H3A 2T8, Canada
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27
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Kvaal S, Laestadius A, Bodenstein T. Guaranteed convergence for a class of coupled-cluster methods based on Arponen's extended theory. Mol Phys 2020. [DOI: 10.1080/00268976.2020.1810349] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- Simen Kvaal
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
| | - Andre Laestadius
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
| | - Tilmann Bodenstein
- Hylleraas Centre for Quantum Molecular Sciences, Department of Chemistry, University of Oslo, Oslo, Norway
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28
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Hansen MB, Madsen NK, Christiansen O. Extended vibrational coupled cluster: Stationary states and dynamics. J Chem Phys 2020; 153:044133. [DOI: 10.1063/5.0015413] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Mads Bøttger Hansen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Niels Kristian Madsen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
| | - Ove Christiansen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK-8000 Aarhus C, Denmark
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29
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Yao JM, Bally B, Engel J, Wirth R, Rodríguez TR, Hergert H. Ab Initio Treatment of Collective Correlations and the Neutrinoless Double Beta Decay of ^{48}Ca. PHYSICAL REVIEW LETTERS 2020; 124:232501. [PMID: 32603157 DOI: 10.1103/physrevlett.124.232501] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/20/2019] [Revised: 02/04/2020] [Accepted: 05/06/2020] [Indexed: 06/11/2023]
Abstract
Working with Hamiltonians from chiral effective field theory, we develop a novel framework for describing arbitrary deformed medium-mass nuclei by combining the in-medium similarity renormalization group with the generator coordinate method. The approach leverages the ability of the first method to capture dynamic correlations and the second to include collective correlations without violating symmetries. We use our scheme to compute the matrix element that governs the neutrinoless double beta decay of ^{48}Ca to ^{48}Ti, and find it to have the value 0.61, near or below the predictions of most phenomenological methods. The result opens the door to ab initio calculations of the matrix elements for the decay of heavier nuclei such as ^{76}Ge, ^{130}Te, and ^{136}Xe.
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Affiliation(s)
- J M Yao
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824-1321, USA
| | - B Bally
- Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27516-3255, USA
| | - J Engel
- Department of Physics and Astronomy, University of North Carolina, Chapel Hill, North Carolina 27516-3255, USA
| | - R Wirth
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824-1321, USA
| | - T R Rodríguez
- Departamento de Física Teórica y Centro de Investigación Avanzada en Física Fundamental, Universidad Autónoma de Madrid, E-28049 Madrid, Spain
| | - H Hergert
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824-1321, USA
- Department of Physics & Astronomy, Michigan State University, East Lansing, Michigan 48824-1321, USA
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30
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Bagchi S, Kanungo R, Tanaka YK, Geissel H, Doornenbal P, Horiuchi W, Hagen G, Suzuki T, Tsunoda N, Ahn DS, Baba H, Behr K, Browne F, Chen S, Cortés ML, Estradé A, Fukuda N, Holl M, Itahashi K, Iwasa N, Jansen GR, Jiang WG, Kaur S, Macchiavelli AO, Matsumoto SY, Momiyama S, Murray I, Nakamura T, Novario SJ, Ong HJ, Otsuka T, Papenbrock T, Paschalis S, Prochazka A, Scheidenberger C, Schrock P, Shimizu Y, Steppenbeck D, Sakurai H, Suzuki D, Suzuki H, Takechi M, Takeda H, Takeuchi S, Taniuchi R, Wimmer K, Yoshida K. Two-Neutron Halo is Unveiled in ^{29}F. PHYSICAL REVIEW LETTERS 2020; 124:222504. [PMID: 32567915 DOI: 10.1103/physrevlett.124.222504] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2020] [Revised: 04/17/2020] [Accepted: 05/08/2020] [Indexed: 06/11/2023]
Abstract
We report the measurement of reaction cross sections (σ_{R}^{ex}) of ^{27,29}F with a carbon target at RIKEN. The unexpectedly large σ_{R}^{ex} and derived matter radius identify ^{29}F as the heaviest two-neutron Borromean halo to date. The halo is attributed to neutrons occupying the 2p_{3/2} orbital, thereby vanishing the shell closure associated with the neutron number N=20. The results are explained by state-of-the-art shell model calculations. Coupled-cluster computations based on effective field theories of the strong nuclear force describe the matter radius of ^{27}F but are challenged for ^{29}F.
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Affiliation(s)
- S Bagchi
- Astronomy and Physics Department, Saint Mary's University, Halifax, Nova Scotia B3H 3C3, Canada
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
- Justus-Liebig University, 35392 Giessen, Germany
| | - R Kanungo
- Astronomy and Physics Department, Saint Mary's University, Halifax, Nova Scotia B3H 3C3, Canada
- TRIUMF, Vancouver, British Columbia V6T 2A3, Canada
| | - Y K Tanaka
- Astronomy and Physics Department, Saint Mary's University, Halifax, Nova Scotia B3H 3C3, Canada
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
- Justus-Liebig University, 35392 Giessen, Germany
| | - H Geissel
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
- Justus-Liebig University, 35392 Giessen, Germany
| | - P Doornenbal
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - W Horiuchi
- Department of Physics, Hokkaido University, Sapporo 060-0810, Japan
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - T Suzuki
- Department of Physics, Nihon University, Setagaya-ku, Tokyo 156-8550, Japan
| | - N Tsunoda
- Center for Nuclear Study, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - D S Ahn
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - H Baba
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - K Behr
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - F Browne
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - S Chen
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - M L Cortés
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - A Estradé
- Department of Physics, Central Michigan University, Mount Pleasant, Michigan 48859, USA
| | - N Fukuda
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - M Holl
- Astronomy and Physics Department, Saint Mary's University, Halifax, Nova Scotia B3H 3C3, Canada
- TRIUMF, Vancouver, British Columbia V6T 2A3, Canada
| | - K Itahashi
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - N Iwasa
- Department of Physics, Tohoku University, Miyagi 980-8577, Japan
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - W G Jiang
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - S Kaur
- Astronomy and Physics Department, Saint Mary's University, Halifax, Nova Scotia B3H 3C3, Canada
- Department of Physics and Atmospheric Science, Dalhousie University, Halifax, Nova Scotia B3H 4R2, Canada
| | - A O Macchiavelli
- Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - S Y Matsumoto
- Department of Physics, Kyoto University, Kyoto 606-8502, Japan
| | - S Momiyama
- Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - I Murray
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
- Institut de Physique Nucleaire, IN2P3, CNRS, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - T Nakamura
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo 152-8551, Japan
| | - S J Novario
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - H J Ong
- RCNP, Osaka University, Mihogaoka, Ibaraki, Osaka 567 0047, Japan
| | - T Otsuka
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
- Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - S Paschalis
- Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom
| | - A Prochazka
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
| | - C Scheidenberger
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
- Justus-Liebig University, 35392 Giessen, Germany
| | - P Schrock
- Center for Nuclear Study, University of Tokyo, RIKEN Campus, Wako, Saitama 351-0198, Japan
| | - Y Shimizu
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - D Steppenbeck
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
- Center for Nuclear Study, University of Tokyo, RIKEN Campus, Wako, Saitama 351-0198, Japan
| | - H Sakurai
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
- Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - D Suzuki
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - H Suzuki
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - M Takechi
- Graduate School of Science and Technology, Niigata University, Niigata 950-2102, Japan
| | - H Takeda
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
| | - S Takeuchi
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo 152-8551, Japan
| | - R Taniuchi
- Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
- Department of Physics, University of York, Heslington, York YO10 5DD, United Kingdom
| | - K Wimmer
- Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - K Yoshida
- RIKEN Nishina Center, Wako, Saitama 351-0198, Japan
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31
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Ekström A, Hagen G. Global Sensitivity Analysis of Bulk Properties of an Atomic Nucleus. PHYSICAL REVIEW LETTERS 2019; 123:252501. [PMID: 31922790 DOI: 10.1103/physrevlett.123.252501] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/10/2019] [Revised: 11/12/2019] [Indexed: 06/10/2023]
Abstract
We perform a global sensitivity analysis of the binding energy and the charge radius of the nucleus ^{16}O to identify the most influential low-energy constants in the next-to-next-to-leading order chiral Hamiltonian with two- and three-nucleon forces. For this purpose, we develop a subspace-projected coupled-cluster method using eigenvector continuation [Frame D. et al., Phys. Rev. Lett. 121, 032501 (2018)PRLTAO0031-900710.1103/PhysRevLett.121.032501]. With this method, we compute the binding energy and charge radius of ^{16}O at more than 10^{6} different values of the 16 low-energy constants in one hour on a standard laptop computer. For relatively small subspace projections, the root-mean-square error is about 1% compared to full-space coupled-cluster results. We find that 58(1)% of the variance in energy can be apportioned to a single contact term in the ^{3}S_{1} wave, whereas the radius depends sensitively on several low-energy constants and their higher-order correlations. The results identify the most important parameters for describing nuclear saturation and help prioritize efforts for uncertainty reduction of theoretical predictions. The achieved acceleration opens up an array of computational statistics analyses of the underlying description of the strong nuclear interaction in nuclei across the Segrè chart.
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Affiliation(s)
- Andreas Ekström
- Department of Physics, Chalmers University of Technology, SE-412 96 Göteborg, Sweden
| | - Gaute Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
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32
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Hansen MB, Madsen NK, Zoccante A, Christiansen O. Time-dependent vibrational coupled cluster theory: Theory and implementation at the two-mode coupling level. J Chem Phys 2019; 151:154116. [DOI: 10.1063/1.5117207] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Mads Bøttger Hansen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK–8000 Aarhus C, Denmark
| | - Niels Kristian Madsen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK–8000 Aarhus C, Denmark
| | - Alberto Zoccante
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK–8000 Aarhus C, Denmark
| | - Ove Christiansen
- Department of Chemistry, Aarhus University, Langelandsgade 140, DK–8000 Aarhus C, Denmark
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33
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Liu HN, Obertelli A, Doornenbal P, Bertulani CA, Hagen G, Holt JD, Jansen GR, Morris TD, Schwenk A, Stroberg R, Achouri N, Baba H, Browne F, Calvet D, Château F, Chen S, Chiga N, Corsi A, Cortés ML, Delbart A, Gheller JM, Giganon A, Gillibert A, Hilaire C, Isobe T, Kobayashi T, Kubota Y, Lapoux V, Motobayashi T, Murray I, Otsu H, Panin V, Paul N, Rodriguez W, Sakurai H, Sasano M, Steppenbeck D, Stuhl L, Sun YL, Togano Y, Uesaka T, Wimmer K, Yoneda K, Aktas O, Aumann T, Chung LX, Flavigny F, Franchoo S, Gašparić I, Gerst RB, Gibelin J, Hahn KI, Kim D, Koiwai T, Kondo Y, Koseoglou P, Lee J, Lehr C, Linh BD, Lokotko T, MacCormick M, Moschner K, Nakamura T, Park SY, Rossi D, Sahin E, Sohler D, Söderström PA, Takeuchi S, Törnqvist H, Vaquero V, Wagner V, Wang S, Werner V, Xu X, Yamada H, Yan D, Yang Z, Yasuda M, Zanetti L. How Robust is the N=34 Subshell Closure? First Spectroscopy of ^{52}Ar. PHYSICAL REVIEW LETTERS 2019; 122:072502. [PMID: 30848641 DOI: 10.1103/physrevlett.122.072502] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/08/2018] [Revised: 01/22/2019] [Indexed: 06/09/2023]
Abstract
The first γ-ray spectroscopy of ^{52}Ar, with the neutron number N=34, was measured using the ^{53}K(p,2p) one-proton removal reaction at ∼210 MeV/u at the RIBF facility. The 2_{1}^{+} excitation energy is found at 1656(18) keV, the highest among the Ar isotopes with N>20. This result is the first experimental signature of the persistence of the N=34 subshell closure beyond ^{54}Ca, i.e., below the magic proton number Z=20. Shell-model calculations with phenomenological and chiral-effective-field-theory interactions both reproduce the measured 2_{1}^{+} systematics of neutron-rich Ar isotopes, and support a N=34 subshell closure in ^{52}Ar.
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Affiliation(s)
- H N Liu
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- Department of Physics, Royal Institute of Technology, SE-10691 Stockholm, Sweden
| | - A Obertelli
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - P Doornenbal
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - C A Bertulani
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- Texas A&M University-Commerce, P.O. Box 3011, Commerce, Texas 75429, USA
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - J D Holt
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - T D Morris
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - R Stroberg
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - N Achouri
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - H Baba
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - F Browne
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - D Calvet
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - F Château
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - S Chen
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, People's Republic of China
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - N Chiga
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - A Corsi
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - M L Cortés
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - A Delbart
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - J-M Gheller
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - A Giganon
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - A Gillibert
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - C Hilaire
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - T Isobe
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - T Kobayashi
- Department of Physics, Tohoku University, Sendai 980-8578, Japan
| | - Y Kubota
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Center for Nuclear Study, University of Tokyo, RIKEN campus, Wako, Saitama 351-0198, Japan
| | - V Lapoux
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - T Motobayashi
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - I Murray
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - H Otsu
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - V Panin
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - N Paul
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
| | - W Rodriguez
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Universidad Nacional de Colombia, Sede Bogota, Facultad de Ciencias, Departamento de Física, 111321, Bogotá, Colombia
| | - H Sakurai
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
| | - M Sasano
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - D Steppenbeck
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - L Stuhl
- Center for Nuclear Study, University of Tokyo, RIKEN campus, Wako, Saitama 351-0198, Japan
| | - Y L Sun
- Département de Physique Nucléaire, IRFU, CEA, Université Paris-Saclay, F-91191 Gif-sur-Yvette, France
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - Y Togano
- Department of Physics, Rikkyo University, 3-34-1 Nishi-Ikebukuro, Toshima, Tokyo 172-8501, Japan
| | - T Uesaka
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - K Wimmer
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
| | - K Yoneda
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - O Aktas
- Department of Physics, Royal Institute of Technology, SE-10691 Stockholm, Sweden
| | - T Aumann
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - L X Chung
- Institute for Nuclear Science & Technology, VINATOM, P.O. Box 5T-160, Nghia Do, Hanoi, Vietnam
| | - F Flavigny
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - S Franchoo
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - I Gašparić
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Ruđer Bošković Institute, Bijenička cesta 54, 10000 Zagreb, Croatia
| | - R-B Gerst
- Institut für Kernphysik, Universität zu Köln, D-50937 Cologne, Germany
| | - J Gibelin
- LPC Caen, ENSICAEN, Université de Caen, CNRS/IN2P3, F-14050 Caen, France
| | - K I Hahn
- Ewha Womans University, Seoul 120-750, Korea
| | - D Kim
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
- Ewha Womans University, Seoul 120-750, Korea
| | - T Koiwai
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo, Tokyo 113-0033, Japan
| | - Y Kondo
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - P Koseoglou
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- GSI Helmoltzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
| | - J Lee
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - C Lehr
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - B D Linh
- Institute for Nuclear Science & Technology, VINATOM, P.O. Box 5T-160, Nghia Do, Hanoi, Vietnam
| | - T Lokotko
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - M MacCormick
- Institut de Physique Nucléaire, CNRS-IN2P3, Université Paris-Sud, Université Paris-Saclay, 91406 Orsay Cedex, France
| | - K Moschner
- Institut für Kernphysik, Universität zu Köln, D-50937 Cologne, Germany
| | - T Nakamura
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - S Y Park
- Ewha Womans University, Seoul 120-750, Korea
| | - D Rossi
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - E Sahin
- Department of Physics, University of Oslo, N-0316 Oslo, Norway
| | - D Sohler
- MTA Atomki, P.O. Box 51, Debrecen H-4001, Hungary
| | - P-A Söderström
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - S Takeuchi
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - H Törnqvist
- GSI Helmoltzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
| | - V Vaquero
- Instituto de Estructura de la Materia, CSIC, E-28006 Madrid, Spain
| | - V Wagner
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - S Wang
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
| | - V Werner
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - X Xu
- Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong
| | - H Yamada
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - D Yan
- Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
| | - Z Yang
- RIKEN Nishina Center, 2-1 Hirosawa, Wako, Saitama 351-0198, Japan
| | - M Yasuda
- Department of Physics, Tokyo Institute of Technology, 2-12-1 O-Okayama, Meguro, Tokyo, 152-8551, Japan
| | - L Zanetti
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
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Neufcourt L, Cao Y, Nazarewicz W, Olsen E, Viens F. Neutron Drip Line in the Ca Region from Bayesian Model Averaging. PHYSICAL REVIEW LETTERS 2019; 122:062502. [PMID: 30822058 DOI: 10.1103/physrevlett.122.062502] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/12/2018] [Revised: 11/15/2018] [Indexed: 06/09/2023]
Abstract
The region of heavy calcium isotopes forms the frontier of experimental and theoretical nuclear structure research where the basic concepts of nuclear physics are put to stringent test. The recent discovery of the extremely neutron-rich nuclei around ^{60}Ca O. B. Tarasov et al. [Phys. Rev. Lett. 121, 022501 (2018)10.1103/PhysRevLett.121.022501] and the experimental determination of masses for ^{55-57}Ca S. Michimasa et al. [Phys. Rev. Lett. 121, 022506 (2018)10.1103/PhysRevLett.121.022506] provide unique information about the binding energy surface in this region. To assess the impact of these experimental discoveries on the nuclear landscape's extent, we use global mass models and statistical machine learning to make predictions, with quantified levels of certainty, for bound nuclides between Si and Ti. Using a Bayesian model averaging analysis based on Gaussian-process-based extrapolations we introduce the posterior probability p_{ex} for each nucleus to be bound to neutron emission. We find that extrapolations for drip-line locations, at which the nuclear binding ends, are consistent across the global mass models used, in spite of significant variations between their raw predictions. In particular, considering the current experimental information and current global mass models, we predict that ^{68}Ca has an average posterior probability p_{ex}≈76% to be bound to two-neutron emission while the nucleus ^{61}Ca is likely to decay by emitting a neutron (p_{ex}≈46%).
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Affiliation(s)
- Léo Neufcourt
- Department of Statistics and Probability, Michigan State University, East Lansing, Michigan 48824, USA
- FRIB Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
| | - Yuchen Cao
- Department of Physics and Astronomy and NSCL Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
| | - Witold Nazarewicz
- Department of Physics and Astronomy and FRIB Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
| | - Erik Olsen
- FRIB Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
| | - Frederi Viens
- Department of Statistics and Probability, Michigan State University, East Lansing, Michigan 48824, USA
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35
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Rubio-García A, Alcoba DR, Capuzzi P, Dukelsky J. Benchmarking the Variational Reduced Density Matrix Theory in the Doubly Occupied Configuration Interaction Space with Integrable Pairing Models. J Chem Theory Comput 2018; 14:4183-4192. [PMID: 29906104 DOI: 10.1021/acs.jctc.8b00387] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The variational reduced density matrix theory has been recently applied with great success to models within the truncated doubly occupied configuration interaction space, which corresponds to the seniority zero subspace. Conservation of the seniority quantum number restricts the Hamiltonians to be based on the SU(2) algebra. Among them there is a whole family of exactly solvable Richardson-Gaudin pairing Hamiltonians. We benchmark the variational theory against two different exactly solvable models, the Richardson-Gaudin-Kitaev and the reduced BCS Hamiltonians. We obtain exact numerical results for the so-called [Formula: see text] N-representability conditions in both cases for systems that go from 10 to 100 particles. However, when random single-particle energies as appropriate for small superconducting grains are considered, the exactness is lost but still a high accuracy is obtained.
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Affiliation(s)
- A Rubio-García
- Instituto de Estructura de la Materia, CSIC, Serrano 123 , 28006 Madrid , Spain
| | - D R Alcoba
- Departamento de Física, Facultad de Ciencias Exactas y Naturales , Universidad de Buenos Aires, Ciudad Universitaria , 1428 Buenos Aires , Argentina.,Instituto de Física de Buenos Aires, Consejo Nacional de Investigaciones Científicas y Técnicas , Ciudad Universitaria , 1428 Buenos Aires , Argentina
| | - P Capuzzi
- Departamento de Física, Facultad de Ciencias Exactas y Naturales , Universidad de Buenos Aires, Ciudad Universitaria , 1428 Buenos Aires , Argentina.,Instituto de Física de Buenos Aires, Consejo Nacional de Investigaciones Científicas y Técnicas , Ciudad Universitaria , 1428 Buenos Aires , Argentina
| | - J Dukelsky
- Instituto de Estructura de la Materia, CSIC, Serrano 123 , 28006 Madrid , Spain
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36
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Sahoo BK, Das BP. The role of relativistic many-body theory in probing new physics beyond the standard model via the electric dipole moments of diamagnetic atoms. ACTA ACUST UNITED AC 2018. [DOI: 10.1088/1742-6596/1041/1/012014] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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37
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Dumitrescu EF, McCaskey AJ, Hagen G, Jansen GR, Morris TD, Papenbrock T, Pooser RC, Dean DJ, Lougovski P. Cloud Quantum Computing of an Atomic Nucleus. PHYSICAL REVIEW LETTERS 2018; 120:210501. [PMID: 29883142 DOI: 10.1103/physrevlett.120.210501] [Citation(s) in RCA: 50] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/12/2018] [Indexed: 06/08/2023]
Abstract
We report a quantum simulation of the deuteron binding energy on quantum processors accessed via cloud servers. We use a Hamiltonian from pionless effective field theory at leading order. We design a low-depth version of the unitary coupled-cluster ansatz, use the variational quantum eigensolver algorithm, and compute the binding energy to within a few percent. Our work is the first step towards scalable nuclear structure computations on a quantum processor via the cloud, and it sheds light on how to map scientific computing applications onto nascent quantum devices.
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Affiliation(s)
- E F Dumitrescu
- Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - A J McCaskey
- Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - T D Morris
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - R C Pooser
- Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - D J Dean
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - P Lougovski
- Computational Sciences and Engineering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
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38
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Sahoo BK, Das BP. Relativistic Normal Coupled-Cluster Theory for Accurate Determination of Electric Dipole Moments of Atoms: First Application to the ^{199}Hg Atom. PHYSICAL REVIEW LETTERS 2018; 120:203001. [PMID: 29864313 DOI: 10.1103/physrevlett.120.203001] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/22/2017] [Indexed: 06/08/2023]
Abstract
Recent relativistic coupled-cluster (RCC) calculations of electric dipole moments (EDMs) of diamagnetic atoms due to parity and time-reversal violating (P,T-odd) interactions, which are essential ingredients for probing new physics beyond the standard model of particle interactions, differ substantially from the previous theoretical results. It is therefore necessary to perform an independent test of the validity of these results. In view of this, the normal coupled-cluster method has been extended to the relativistic regime [relativistic normal coupled-cluster (RNCC) method] to calculate the EDMs of atoms by simultaneously incorporating the electrostatic and P,T-odd interactions in order to overcome the shortcomings of the ordinary RCC method. This new relativistic method has been applied to ^{199}Hg, which currently has a lower EDM limit than that of any other system. The results of our RNCC and self-consistent RCC calculations of the EDM of this atom are found to be close. The discrepancies between these two results on the one hand and those of previous calculations on the other are elucidated. Furthermore, the electric dipole polarizability of this atom, which has computational similarities with the EDM, is evaluated and it is in very good agreement with its measured value.
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Affiliation(s)
- B K Sahoo
- Physical Research Laboratory, Atomic, Molecular and Optical Physics Division, Navrangpura, Ahmedabad-380009, India
- State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
| | - B P Das
- Department of Physics and International Education and Research Center of Science, Tokyo Institute of Technology, 2-12-1 Ookayama Meguro-ku, Tokyo 152-8550, Japan
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39
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Tran DT, Ong HJ, Hagen G, Morris TD, Aoi N, Suzuki T, Kanada-En'yo Y, Geng LS, Terashima S, Tanihata I, Nguyen TT, Ayyad Y, Chan PY, Fukuda M, Geissel H, Harakeh MN, Hashimoto T, Hoang TH, Ideguchi E, Inoue A, Jansen GR, Kanungo R, Kawabata T, Khiem LH, Lin WP, Matsuta K, Mihara M, Momota S, Nagae D, Nguyen ND, Nishimura D, Otsuka T, Ozawa A, Ren PP, Sakaguchi H, Scheidenberger C, Tanaka J, Takechi M, Wada R, Yamamoto T. Evidence for prevalent Z = 6 magic number in neutron-rich carbon isotopes. Nat Commun 2018; 9:1594. [PMID: 29686394 PMCID: PMC5913314 DOI: 10.1038/s41467-018-04024-y] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/03/2018] [Accepted: 03/28/2018] [Indexed: 11/08/2022] Open
Abstract
The nuclear shell structure, which originates in the nearly independent motion of nucleons in an average potential, provides an important guide for our understanding of nuclear structure and the underlying nuclear forces. Its most remarkable fingerprint is the existence of the so-called magic numbers of protons and neutrons associated with extra stability. Although the introduction of a phenomenological spin-orbit (SO) coupling force in 1949 helped in explaining the magic numbers, its origins are still open questions. Here, we present experimental evidence for the smallest SO-originated magic number (subshell closure) at the proton number six in 13-20C obtained from systematic analysis of point-proton distribution radii, electromagnetic transition rates and atomic masses of light nuclei. Performing ab initio calculations on 14,15C, we show that the observed proton distribution radii and subshell closure can be explained by the state-of-the-art nuclear theory with chiral nucleon-nucleon and three-nucleon forces, which are rooted in the quantum chromodynamics.
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Affiliation(s)
- D T Tran
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
- Institute of Physics, Vietnam Academy of Science and Technology, Hanoi, 10000, Vietnam
| | - H J Ong
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan.
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, 37996, USA
| | - T D Morris
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN, 37996, USA
| | - N Aoi
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
| | - T Suzuki
- Department of Physics, College of Humanities and Sciences, Nihon University, Tokyo, 156-8550, Japan
- National Astronomical Observatory of Japan, Tokyo, 181-8588, Japan
| | - Y Kanada-En'yo
- Department of Physics, Kyoto University, Kyoto, 606-8502, Japan
| | - L S Geng
- School of Physics and Nuclear Energy Engineering, Beihang University, 100191, Beijing, China
| | - S Terashima
- School of Physics and Nuclear Energy Engineering, Beihang University, 100191, Beijing, China
| | - I Tanihata
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
- School of Physics and Nuclear Energy Engineering, Beihang University, 100191, Beijing, China
| | - T T Nguyen
- Pham Ngoc Thach University of Medicine, Ho Chi Minh, 700000, Vietnam
- Faculty of Physics and Engineering, VNUHCM-University of Science, Ho Chi Minh City, 70250, Vietnam
- Sungkyunkwan University, Gyeonggi-do, 16419, South Korea
| | - Y Ayyad
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
| | - P Y Chan
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
| | - M Fukuda
- Department of Physics, Osaka University, Osaka, 560-0043, Japan
| | - H Geissel
- GSI Helmholtzzentrum für Schwerionenforschung, 64291, Darmstadt, Germany
- Justus Liebig University, 35392, Giessen, Germany
| | - M N Harakeh
- GSI Helmholtzzentrum für Schwerionenforschung, 64291, Darmstadt, Germany
- KVI Center for Advanced Radiation Technology, University of Groningen, 9747 AA, Groningen, The Netherlands
| | - T Hashimoto
- Rare Isotope Science Project, Institute for Basic Science, Daejeon, 34047, Korea
| | - T H Hoang
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
- Institute of Physics, Vietnam Academy of Science and Technology, Hanoi, 10000, Vietnam
| | - E Ideguchi
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
| | - A Inoue
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, TN, 37831, USA
| | - R Kanungo
- Astronomy and Physics Department, Saint Mary's University, Halifax, NS, B3H 3C3, Canada
| | - T Kawabata
- Department of Physics, Kyoto University, Kyoto, 606-8502, Japan
| | - L H Khiem
- Institute of Physics, Vietnam Academy of Science and Technology, Hanoi, 10000, Vietnam
| | - W P Lin
- Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
| | - K Matsuta
- Department of Physics, Osaka University, Osaka, 560-0043, Japan
| | - M Mihara
- Department of Physics, Osaka University, Osaka, 560-0043, Japan
| | - S Momota
- Kochi University of Technology, Kochi, 782-8502, Japan
| | - D Nagae
- RIKEN Nishina Center, Saitama, 351-0198, Japan
| | - N D Nguyen
- Dong Nai University, Dong Nai, 81000, Vietnam
| | - D Nishimura
- Tokyo University of Science, Chiba, 278-8510, Japan
| | - T Otsuka
- Department of Physics, University of Tokyo, Tokyo, 113-0033, Japan
| | - A Ozawa
- Institute of Physics, University of Tsukuba, Ibaraki, 305-8571, Japan
| | - P P Ren
- Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
| | - H Sakaguchi
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
| | - C Scheidenberger
- GSI Helmholtzzentrum für Schwerionenforschung, 64291, Darmstadt, Germany
- Justus Liebig University, 35392, Giessen, Germany
| | - J Tanaka
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
| | - M Takechi
- Department of Physics, Niigata University, Niigata, 950-2181, Japan
| | - R Wada
- Institute of Modern Physics, Chinese Academy of Sciences, 730000, Lanzhou, China
- Cyclotron Institute, Texas A&M University, College Station, TX, 77840, USA
| | - T Yamamoto
- Research Center for Nuclear Physics, Osaka University, Osaka, 567-0047, Japan
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40
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Morris TD, Simonis J, Stroberg SR, Stumpf C, Hagen G, Holt JD, Jansen GR, Papenbrock T, Roth R, Schwenk A. Structure of the Lightest Tin Isotopes. PHYSICAL REVIEW LETTERS 2018; 120:152503. [PMID: 29756897 DOI: 10.1103/physrevlett.120.152503] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/21/2017] [Revised: 01/12/2018] [Indexed: 06/08/2023]
Abstract
We link the structure of nuclei around ^{100}Sn, the heaviest doubly magic nucleus with equal neutron and proton numbers (N=Z=50), to nucleon-nucleon (NN) and three-nucleon (NNN) forces constrained by data of few-nucleon systems. Our results indicate that ^{100}Sn is doubly magic, and we predict its quadrupole collectivity. We present precise computations of ^{101}Sn based on three-particle-two-hole excitations of ^{100}Sn, and we find that one interaction accurately reproduces the small splitting between the lowest J^{π}=7/2^{+} and 5/2^{+} states.
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Affiliation(s)
- T D Morris
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - J Simonis
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 2, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
| | - S R Stroberg
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Physics Department, Reed College, Portland, Oregon 97202, USA
| | - C Stumpf
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 2, 64289 Darmstadt, Germany
| | - G Hagen
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - J D Holt
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - G R Jansen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- National Center for Computational Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - T Papenbrock
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
| | - R Roth
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 2, 64289 Darmstadt, Germany
| | - A Schwenk
- Institut für Kernphysik, TU Darmstadt, Schlossgartenstraße 2, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
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41
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Lonardoni D, Carlson J, Gandolfi S, Lynn JE, Schmidt KE, Schwenk A, Wang XB. Properties of Nuclei up to A=16 using Local Chiral Interactions. PHYSICAL REVIEW LETTERS 2018; 120:122502. [PMID: 29694099 DOI: 10.1103/physrevlett.120.122502] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/26/2017] [Revised: 01/29/2018] [Indexed: 06/08/2023]
Abstract
We report accurate quantum Monte Carlo calculations of nuclei up to A=16 based on local chiral two- and three-nucleon interactions up to next-to-next-to-leading order. We examine the theoretical uncertainties associated with the chiral expansion and the cutoff in the theory, as well as the associated operator choices in the three-nucleon interactions. While in light nuclei the cutoff variation and systematic uncertainties are rather small, in ^{16}O these can be significant for large coordinate-space cutoffs. Overall, we show that chiral interactions constructed to reproduce properties of very light systems and nucleon-nucleon scattering give an excellent description of binding energies, charge radii, and form factors for all these nuclei, including open-shell systems in A=6 and 12.
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Affiliation(s)
- D Lonardoni
- Facility for Rare Isotope Beams, Michigan State University, East Lansing, Michigan 48824, USA
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - J Carlson
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - S Gandolfi
- Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - J E Lynn
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
| | - K E Schmidt
- Department of Physics, Arizona State University, Tempe, Arizona 85287, USA
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - X B Wang
- School of Science, Huzhou University, Huzhou 313000, China
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43
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Hove D, Garrido E, Sarriguren P, Fedorov DV, Fynbo HOU, Jensen AS, Zinner NT. Emergence of Clusters: Halos, Efimov States, and Experimental Signals. PHYSICAL REVIEW LETTERS 2018; 120:052502. [PMID: 29481154 DOI: 10.1103/physrevlett.120.052502] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/21/2017] [Revised: 10/01/2017] [Indexed: 06/08/2023]
Abstract
We investigate the emergence of halos and Efimov states in nuclei by use of a newly designed model that combines self-consistent mean-field and three-body descriptions. Recent interest in neutron heavy calcium isotopes makes ^{72}Ca (^{70}Ca+n+n) an ideal realistic candidate on the neutron dripline, and we use it as a representative example that illustrates our broadly applicable conclusions. By smooth variation of the interactions we simulate the crossover from well-bound systems to structures beyond the threshold of binding, and find that halo configurations emerge from the mean-field structure for three-body binding energy less than ∼100 keV. Strong evidence is provided that Efimov states cannot exist in nuclei. The structure that bears the most resemblance to an Efimov state is a giant halo extending beyond the neutron-core scattering length. We show that the observable large-distance decay properties of the wave function can differ substantially from the bulk part at short distances, and that this evolution can be traced with our combination of few- and many-body formalisms. This connection is vital for interpretation of measurements such as those where an initial state is populated in a reaction or by a beta decay.
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Affiliation(s)
- D Hove
- Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
| | - E Garrido
- Instituto de Estructura de la Materia, IEM-CSIC, Serrano 123, E-28006 Madrid, Spain
| | - P Sarriguren
- Instituto de Estructura de la Materia, IEM-CSIC, Serrano 123, E-28006 Madrid, Spain
| | - D V Fedorov
- Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
| | - H O U Fynbo
- Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
| | - A S Jensen
- Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
| | - N T Zinner
- Department of Physics and Astronomy, Aarhus University, DK-8000 Aarhus C, Denmark
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44
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Deustua JE, Shen J, Piecuch P. Converging High-Level Coupled-Cluster Energetics by Monte Carlo Sampling and Moment Expansions. PHYSICAL REVIEW LETTERS 2017; 119:223003. [PMID: 29286766 DOI: 10.1103/physrevlett.119.223003] [Citation(s) in RCA: 55] [Impact Index Per Article: 7.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/31/2017] [Indexed: 06/07/2023]
Abstract
We propose a new approach to the determination of accurate electronic energies that are equivalent to the results of high-level coupled-cluster (CC) calculations. The approach is based on merging the CC(P;Q) formalism, which corrects energies obtained with an arbitrary truncation in the cluster operator, with the stochastic configuration interaction and CC ideas. The advantages of the proposed methodology are illustrated by molecular examples, where the goal is to recover the energetics obtained in the CC calculations with a full treatment of singly, doubly, and triply excited clusters.
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Affiliation(s)
- J Emiliano Deustua
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Jun Shen
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
| | - Piotr Piecuch
- Department of Chemistry, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
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45
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Brown BA, Bertsch GF, Robledo LM, Romalis MV, Zelevinsky V. Nuclear Matrix Elements for Tests of Local Lorentz Invariance Violation. PHYSICAL REVIEW LETTERS 2017; 119:192504. [PMID: 29219490 DOI: 10.1103/physrevlett.119.192504] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/18/2016] [Indexed: 06/07/2023]
Abstract
The nuclear matrix elements for the spin operator and the momentum quadrupole operator are important for the interpretation of precision atomic physics experiments that search for violations of local Lorentz and CPT symmetry and for new spin-dependent forces. We use the configuration-interaction nuclear shell model and self-consistent mean-field theory to calculate the momentum matrix elements for ^{21}Ne, ^{23}Na, ^{133}Cs, ^{173}Yb, and ^{201}Hg. We show that these momentum matrix are strongly suppressed by the many-body correlations, in contrast to the well-known enhancement of the spatial quadrupole nuclear matrix elements.
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Affiliation(s)
- B A Brown
- Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA
| | - G F Bertsch
- Institute for Nuclear Theory and Department of Physics, Box 351560, University of Washington, Seattle, Washington 98195, USA
| | - L M Robledo
- Departamento de Fisica Teorica, Modulo 15, Universidad Autonoma de Madrid, E-28049 Madrid, Spain
| | - M V Romalis
- Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
| | - V Zelevinsky
- Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA
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46
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Yuan F, Novario SJ, Parzuchowski NM, Reimann S, Bogner SK, Hjorth-Jensen M. Addition and removal energies of circular quantum dots. J Chem Phys 2017; 147:164109. [DOI: 10.1063/1.4995615] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Fei Yuan
- National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Samuel J. Novario
- National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Nathan M. Parzuchowski
- National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
- The Ohio State University, Columbus, Ohio 43210, USA
| | - Sarah Reimann
- Department of Chemistry, Hylleraas Centre for Quantum Molecular Sciences, University of Oslo, N-0316 Oslo, Norway
| | - S. K. Bogner
- National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
| | - Morten Hjorth-Jensen
- National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
- Department of Physics, University of Oslo, N-0316 Oslo, Norway
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47
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Kravvaris K, Volya A. Study of Nuclear Clustering from an Ab Initio Perspective. PHYSICAL REVIEW LETTERS 2017; 119:062501. [PMID: 28949635 DOI: 10.1103/physrevlett.119.062501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/03/2017] [Indexed: 06/07/2023]
Abstract
We put forward a new ab initio approach that seamlessly bridges the structure, clustering, and reactions aspects of the nuclear quantum many-body problem. The configuration interaction technique combined with the resonating group method based on a harmonic oscillator basis allows us to treat the reaction and multiclustering dynamics in a translationally invariant way and preserve the Pauli principle. Our presentation includes studies of ^{8,10}Be and an exploration of 3α clustering in ^{12}C.
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Affiliation(s)
| | - Alexander Volya
- Department of Physics, Florida State University, Tallahassee, Florida 32306, USA
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Birkhan J, Miorelli M, Bacca S, Bassauer S, Bertulani CA, Hagen G, Matsubara H, von Neumann-Cosel P, Papenbrock T, Pietralla N, Ponomarev VY, Richter A, Schwenk A, Tamii A. Electric Dipole Polarizability of ^{48}Ca and Implications for the Neutron Skin. PHYSICAL REVIEW LETTERS 2017; 118:252501. [PMID: 28696765 DOI: 10.1103/physrevlett.118.252501] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/21/2016] [Indexed: 06/07/2023]
Abstract
The electric dipole strength distribution in ^{48}Ca between 5 and 25 MeV has been determined at RCNP, Osaka from proton inelastic scattering experiments at forward angles. Combined with photoabsorption data at higher excitation energy, this enables the first extraction of the electric dipole polarizability α_{D}(^{48}Ca)=2.07(22) fm^{3}. Remarkably, the dipole response of ^{48}Ca is found to be very similar to that of ^{40}Ca, consistent with a small neutron skin in ^{48}Ca. The experimental results are in good agreement with ab initio calculations based on chiral effective field theory interactions and with state-of-the-art density-functional calculations, implying a neutron skin in ^{48}Ca of 0.14-0.20 fm.
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Affiliation(s)
- J Birkhan
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - M Miorelli
- TRIUMF, 4004Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - S Bacca
- TRIUMF, 4004Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
- Department of Physics and Astronomy, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada
| | - S Bassauer
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - C A Bertulani
- Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, Texas 75429, USA
| | - G Hagen
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - H Matsubara
- Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
- Tokyo Women's Medical University, 8-1 Kawada-cho, Shinjuku-ku, Tokyo 162-8666, Japan
| | - P von Neumann-Cosel
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - T Papenbrock
- Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37996, USA
| | - N Pietralla
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - V Yu Ponomarev
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - A Richter
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
| | - A Tamii
- Research Center for Nuclear Physics, Osaka University, Ibaraki, Osaka 567-0047, Japan
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Engel J, Menéndez J. Status and future of nuclear matrix elements for neutrinoless double-beta decay: a review. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2017; 80:046301. [PMID: 28140335 DOI: 10.1088/1361-6633/aa5bc5] [Citation(s) in RCA: 60] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The nuclear matrix elements that govern the rate of neutrinoless double beta decay must be accurately calculated if experiments are to reach their full potential. Theorists have been working on the problem for a long time but have recently stepped up their efforts as ton-scale experiments have begun to look feasible. Here we review past and recent work on the matrix elements in a wide variety of nuclear models and discuss work that will be done in the near future. Ab initio nuclear-structure theory, which is developing rapidly, holds out hope of more accurate matrix elements with quantifiable error bars.
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Affiliation(s)
- Jonathan Engel
- Department of Physics and Astronomy, University of North Carolina, Chapel Hill, NC 27516-3255, United States of America
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50
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Stroberg SR, Calci A, Hergert H, Holt JD, Bogner SK, Roth R, Schwenk A. Nucleus-Dependent Valence-Space Approach to Nuclear Structure. PHYSICAL REVIEW LETTERS 2017; 118:032502. [PMID: 28157334 DOI: 10.1103/physrevlett.118.032502] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/11/2016] [Indexed: 06/06/2023]
Abstract
We present a nucleus-dependent valence-space approach for calculating ground and excited states of nuclei, which generalizes the shell-model in-medium similarity renormalization group to an ensemble reference with fractionally filled orbitals. Because the ensemble is used only as a reference, and not to represent physical states, no symmetry restoration is required. This allows us to capture three-nucleon (3N) forces among valence nucleons with a valence-space Hamiltonian specifically targeted to each nucleus of interest. Predicted ground-state energies from carbon through nickel agree with results of other large-space ab initio methods, generally to the 1% level. In addition, we show that this new approach is required in order to obtain convergence for nuclei in the upper p and sd shells. Finally, we address the 1^{+}/3^{+} inversion problem in ^{22}Na and ^{46}V. This approach extends the reach of ab initio nuclear structure calculations to essentially all light- and medium-mass nuclei.
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Affiliation(s)
- S R Stroberg
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - A Calci
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - H Hergert
- Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48844, USA
| | - J D Holt
- TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada
| | - S K Bogner
- Facility for Rare Isotope Beams and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48844, USA
| | - R Roth
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
| | - A Schwenk
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
- ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
- Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany
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