Ground-state energy of uranium diatomic quasimolecules with one and two electrons |
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Authors: | Artem A Kotov Dmitry A Glazov Aleksei V Malyshev Anastasia V Vladimirova Vladimir M Shabaev Günter Plunien |
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Institution: | 1. Department of Physics, Saint-Petersburg State University, Saint Petersburg, Russia;2. Institüt für Theoretische Physik, Technische Universität Dresden, Dresden, Germany |
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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=40–1,000 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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