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Ground-state energy of uranium diatomic quasimolecules with one and two electrons
Authors:Artem A Kotov  Dmitry A Glazov  Aleksei V Malyshev  Anastasia V Vladimirova  Vladimir M Shabaev  Günter Plunien
Institution:1. Department of Physics, Saint-Petersburg State University, Saint Petersburg, Russia;2. Institüt für Theoretische Physik, Technische Universität Dresden, Dresden, Germany
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.
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