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Anikin A, Danilov A, Glazov D, Kotov A, Solovyev D. Light antiproton one-electron quasi-molecular ions within the relativistic A-DKB method. J Chem Phys 2023; 159:214304. [PMID: 38051101 DOI: 10.1063/5.0181614] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/17/2023] [Accepted: 11/14/2023] [Indexed: 12/07/2023] Open
Abstract
In the present work, two quasi-molecular compounds each involving one antiproton and one electron (p̄), He+-p̄ and H-p̄, are investigated. Using completely relativistic calculations within the finite-basis method adapted to systems with axial symmetry, the adiabatic potential curves are constructed by numerically solving the two-center Dirac equation. The binding energies of electron are obtained as a function of the inter-nuclear distance and compared with the corresponding nonrelativistic values and relativistic leading-order corrections calculated in the framework of other approaches. A semantic analysis of antiproton quasi-molecular ions with compounds containing a proton (p) instead of an antiproton is given. The advantages of the A-DKB method are demonstrated.
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Affiliation(s)
- A Anikin
- Department of Physics, St. Petersburg State University, Petrodvorets, Oulianovskaya 1, 198504 St. Petersburg, Russia
- D. I. Mendeleev Institute for Metrology, St. Petersburg 190005, Russia
| | - A Danilov
- Department of Physics, St. Petersburg State University, Petrodvorets, Oulianovskaya 1, 198504 St. Petersburg, Russia
| | - D Glazov
- Department of Physics, St. Petersburg State University, Petrodvorets, Oulianovskaya 1, 198504 St. Petersburg, Russia
- School of Physics and Engineering, ITMO University, Kronverkskiy pr. 49, 197101 St. Petersburg, Russia
| | - A Kotov
- Department of Physics, St. Petersburg State University, Petrodvorets, Oulianovskaya 1, 198504 St. Petersburg, Russia
| | - D Solovyev
- Department of Physics, St. Petersburg State University, Petrodvorets, Oulianovskaya 1, 198504 St. Petersburg, Russia
- Petersburg Nuclear Physics Institute named by B. P. Konstantinov of National Research Centre "Kurchatov Institut," St. Petersburg, Gatchina 188300, Russia
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Madsen N. Antiproton physics in the ELENA era. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2018; 376:rsta.2017.0278. [PMID: 29459419 PMCID: PMC5829179 DOI: 10.1098/rsta.2017.0278] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Accepted: 12/13/2017] [Indexed: 06/08/2023]
Affiliation(s)
- N Madsen
- Department of Physics, Swansea University, Singleton Park, Swansea SA2 8PP, UK
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