### 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 language | English |
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Journal | X-Ray Spectrometry |

DOIs | |

Publication status | Published - 1 Jan 2019 |

### Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

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**Ground-state energy of uranium diatomic quasimolecules with one and two electrons.** / Kotov, Artem A.; Glazov, Dmitry A.; Malyshev, Aleksei V.; Vladimirova, Anastasia V.; Shabaev, Vladimir M.; Plunien, Günter.

Research output › › peer-review

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.

UR - http://www.scopus.com/inward/record.url?scp=85066495438&partnerID=8YFLogxK

U2 - 10.1002/xrs.3064

DO - 10.1002/xrs.3064

M3 - Article

JO - X-Ray Spectrometry

JF - X-Ray Spectrometry

SN - 0049-8246

ER -