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Geldhof S, Kortelainen M, Beliuskina O, Campbell P, Caceres L, Cañete L, Cheal B, Chrysalidis K, Devlin CS, de Groote RP, de Roubin A, Eronen T, Ge Z, Gins W, Koszorus A, Kujanpää S, Nesterenko D, Ortiz-Cortes A, Pohjalainen I, Moore ID, Raggio A, Reponen M, Romero J, Sommer F. Impact of Nuclear Deformation and Pairing on the Charge Radii of Palladium Isotopes. Phys Rev Lett 2022; 128:152501. [PMID: 35499902 DOI: 10.1103/physrevlett.128.152501] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/29/2021] [Revised: 02/01/2022] [Accepted: 03/10/2022] [Indexed: 06/14/2023]
Abstract
The impact of nuclear deformation can been seen in the systematics of nuclear charge radii, with radii generally expanding with increasing deformation. In this Letter, we present a detailed analysis of the precise relationship between nuclear quadrupole deformation and the nuclear size. Our approach combines the first measurements of the changes in the mean-square charge radii of well-deformed palladium isotopes between A=98 and A=118 with nuclear density functional calculations using Fayans functionals, specifically Fy(std) and Fy(Δr,HFB), and the UNEDF2 functional. The changes in mean-square charge radii are extracted from collinear laser spectroscopy measurements on the 4d^{9}5s ^{3}D_{3}→4d^{9}5p ^{3}P_{2} atomic transition. The analysis of the Fayans functional calculations reveals a clear link between a good reproduction of the charge radii for the neutron-rich Pd isotopes and the overestimated odd-even staggering: Both aspects can be attributed to the strength of the pairing correlations in the particular functional which we employ.
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Affiliation(s)
- S Geldhof
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
- KU Leuven, Instituut voor Kern- en Stralingsfysica, 3001 Leuven, Belgium
| | - M Kortelainen
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - O Beliuskina
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - P Campbell
- Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
| | - L Caceres
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, 14000 Caen, France
| | - L Cañete
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - B Cheal
- Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom
| | | | - C S Devlin
- Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom
| | - R P de Groote
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - A de Roubin
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - T Eronen
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - Z Ge
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - W Gins
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - A Koszorus
- Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom
| | - S Kujanpää
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - D Nesterenko
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - A Ortiz-Cortes
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
- Grand Accélérateur National d'Ions Lourds (GANIL), CEA/DSM-CNRS/IN2P3, 14000 Caen, France
| | - I Pohjalainen
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
- GSI Helmholtzzentrum für Schwerionenforschung GmbH, 64291 Darmstadt, Germany
| | - I D Moore
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - A Raggio
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - M Reponen
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
| | - J Romero
- Accelerator Laboratory, Department of Physics, University of Jyväskylä, 40014 Jyväskylä, Finland
- Department of Physics, University of Liverpool, Liverpool L69 7ZE, United Kingdom
| | - F Sommer
- Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany
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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. Phys Rev Lett 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] [What about the content of this article? (0)] [Affiliation(s)] [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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Kortelainen M, Suhonen A, Hamza A, Pápai I, Nauha E, Yliniemelä-Sipari S, Nissinen M, Pihko PM. Folding Patterns in a Family of Oligoamide Foldamers. Chemistry 2015; 21:9493-504. [PMID: 25965104 DOI: 10.1002/chem.201406521] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/17/2014] [Indexed: 11/07/2022]
Abstract
A series of small, unsymmetrical pyridine-2,6-dicarboxylamide oligoamide foldamers with varying lengths and substituents at the end groups were synthetized to study their conformational properties and folding patterns. The @-type folding pattern resembled the oxyanion-hole motifs of enzymes, but several alternative folding patterns could also be characterized. Computational studies revealed several alternative conformers of nearly equal stability. These folding patterns differed from each other in their intramolecular hydrogen-bonding patterns and aryl-aryl interactions. In the solid state, the foldamers adopted either the globular @-type fold or the more extended S-type conformers, which were very similar to those foldamers obtained computationally. In some cases, the same foldamer molecule could even crystallize into two different folding patterns, thus confirming that the different folding patterns are very close in energy in spite of their completely different shapes. Finally, the best match for the observed NOE interactions in the liquid state was a conformation that matched the computationally characterized helix-type fold.
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Affiliation(s)
- Minna Kortelainen
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, P.O. Box 35, 40014 JYU (Finland), Fax: (+358) 14-260-2501
| | - Aku Suhonen
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, P.O. Box 35, 40014 JYU (Finland), Fax: (+358) 14-260-2501
| | - Andrea Hamza
- Institute of Organic Chemistry, Research Center for Natural Sciences, Hungarian Academy of Sciences, Magyar Tudósok Körútja 2, 1117, Budapest (Hungary)
| | - Imre Pápai
- Institute of Organic Chemistry, Research Center for Natural Sciences, Hungarian Academy of Sciences, Magyar Tudósok Körútja 2, 1117, Budapest (Hungary).
| | - Elisa Nauha
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, P.O. Box 35, 40014 JYU (Finland), Fax: (+358) 14-260-2501
| | - Sanna Yliniemelä-Sipari
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, P.O. Box 35, 40014 JYU (Finland), Fax: (+358) 14-260-2501
| | - Maija Nissinen
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, P.O. Box 35, 40014 JYU (Finland), Fax: (+358) 14-260-2501.
| | - Petri M Pihko
- Department of Chemistry, Nanoscience Center, University of Jyväskylä, P.O. Box 35, 40014 JYU (Finland), Fax: (+358) 14-260-2501.
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