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arXiv · 1811.08377

Ground-State Energy of Uranium Diatomic Quasimolecules with One and Two Electrons

A. A. Kotov·D. A. Glazov·A. V. Malyshev·A. V. Vladimirova·V. M. Shabaev·G. Plunien
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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.

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A. A. Kotov, D. A. Glazov, A. V. Malyshev, A. V. Vladimirova, V. M. Shabaev, G. Plunien. 2019-05-15. Ground-State Energy of Uranium Diatomic Quasimolecules with One and Two Electrons. https://arxiv.org/abs/1811.08377

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