Ground-state energy of uranium diatomic quasimolecules with one and two electrons

Research outputpeer-review

Abstract

Ground-state energies of the one- and two-electron uranium dimers are calculated for internuclear distances in the range D=40–1,000 fm and compared with the previous calculations. The generalization of the dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac equation without the partial-wave expansion for the potential of two nuclei. The one-electron one-loop QED contributions (self-energy and vacuum polarization) to the ground-state energy are evaluated using the monopole approximation for the two-center potential. Interelectronic interaction of the first and second order is taken into account for the two-electron quasimolecule. Within the QED approach, one-photon-exchange contribution is calculated in the two-center potential, whereas the two-photon-exchange contribution is treated in the monopole approximation.

Original languageEnglish
JournalX-Ray Spectrometry
DOIs
Publication statusPublished - 1 Jan 2019

Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

@article{6a23708c50464450bb710e40ff8505ac,
title = "Ground-state energy of uranium diatomic quasimolecules with one and two electrons",
abstract = "Ground-state energies of the one- and two-electron uranium dimers are calculated for internuclear distances in the range D=40–1,000 fm and compared with the previous calculations. The generalization of the dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac equation without the partial-wave expansion for the potential of two nuclei. The one-electron one-loop QED contributions (self-energy and vacuum polarization) to the ground-state energy are evaluated using the monopole approximation for the two-center potential. Interelectronic interaction of the first and second order is taken into account for the two-electron quasimolecule. Within the QED approach, one-photon-exchange contribution is calculated in the two-center potential, whereas the two-photon-exchange contribution is treated in the monopole approximation.",
author = "Kotov, {Artem A.} and Glazov, {Dmitry A.} and Malyshev, {Aleksei V.} and Vladimirova, {Anastasia V.} and Shabaev, {Vladimir M.} and G{\"u}nter Plunien",
year = "2019",
month = "1",
day = "1",
doi = "10.1002/xrs.3064",
language = "English",
journal = "X-Ray Spectrometry",
issn = "0049-8246",
publisher = "Wiley-Blackwell",

}

TY - JOUR

T1 - Ground-state energy of uranium diatomic quasimolecules with one and two electrons

AU - Kotov, Artem A.

AU - Glazov, Dmitry A.

AU - Malyshev, Aleksei V.

AU - Vladimirova, Anastasia V.

AU - Shabaev, Vladimir M.

AU - Plunien, Günter

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Ground-state energies of the one- and two-electron uranium dimers are calculated for internuclear distances in the range D=40–1,000 fm and compared with the previous calculations. The generalization of the dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac equation without the partial-wave expansion for the potential of two nuclei. The one-electron one-loop QED contributions (self-energy and vacuum polarization) to the ground-state energy are evaluated using the monopole approximation for the two-center potential. Interelectronic interaction of the first and second order is taken into account for the two-electron quasimolecule. Within the QED approach, one-photon-exchange contribution is calculated in the two-center potential, whereas the two-photon-exchange contribution is treated in the monopole approximation.

AB - Ground-state energies of the one- and two-electron uranium dimers are calculated for internuclear distances in the range D=40–1,000 fm and compared with the previous calculations. The generalization of the dual-kinetic-balance approach for axially symmetric systems is employed to solve the two-center Dirac equation without the partial-wave expansion for the potential of two nuclei. The one-electron one-loop QED contributions (self-energy and vacuum polarization) to the ground-state energy are evaluated using the monopole approximation for the two-center potential. Interelectronic interaction of the first and second order is taken into account for the two-electron quasimolecule. Within the QED approach, one-photon-exchange contribution is calculated in the two-center potential, whereas the two-photon-exchange contribution is treated in the monopole approximation.

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U2 - 10.1002/xrs.3064

DO - 10.1002/xrs.3064

M3 - Article

JO - X-Ray Spectrometry

JF - X-Ray Spectrometry

SN - 0049-8246

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