Light antiproton one-electron quasi-molecular ions within the relativistic A-DKB method

A Anikin; A Danilov; D Glazov; A Kotov; D Solovyev

doi:10.1063/5.0181614

Light antiproton one-electron quasi-molecular ions within the relativistic A-DKB method

J Chem Phys. 2023 Dec 7;159(21):214304. doi: 10.1063/5.0181614.

Authors

A Anikin^{1

2}, A Danilov¹, D Glazov^{1

3}, A Kotov¹, D Solovyev^{1

4}

Affiliations

¹ Department of Physics, St. Petersburg State University, Petrodvorets, Oulianovskaya 1, 198504 St. Petersburg, Russia.
² D. I. Mendeleev Institute for Metrology, St. Petersburg 190005, Russia.
³ School of Physics and Engineering, ITMO University, Kronverkskiy pr. 49, 197101 St. Petersburg, Russia.
⁴ Petersburg Nuclear Physics Institute named by B. P. Konstantinov of National Research Centre "Kurchatov Institut," St. Petersburg, Gatchina 188300, Russia.

PMID: 38051101
DOI: 10.1063/5.0181614

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.