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--1000 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, while the two-photon-exchange contribution is treated in the monopole approximation.
Keywords
Cite
@article{arxiv.1811.08377,
title = {Ground-State Energy of Uranium Diatomic Quasimolecules with One and Two Electrons},
author = {A. A. Kotov and D. A. Glazov and A. V. Malyshev and A. V. Vladimirova and V. M. Shabaev and G. Plunien},
journal= {arXiv preprint arXiv:1811.08377},
year = {2019}
}
Comments
4 pages, 4 figures, HCI 2018 conference proceedings