Model-QED operator for superheavy elements

Autor: Vladimir Shabaev, Ilya Tupitsyn, Vladimir Yerokhin, Dmitry Glazov, Vladimir Zaytsev, Aleksei Malyshev
Rok vydání: 2022
Předmět:
Zdroj: Physical Review A. 106
ISSN: 2469-9934
2469-9926
DOI: 10.1103/physreva.106.012806
Popis: The model-QED-operator approach [Phys. Rev. A 88, 012513 (2013)] to calculations of the radiative corrections to binding and transition energies in atomic systems is extended to the range of nuclear charges $110 \leqslant Z \leqslant 170$. The self-energy part of the model operator is represented by a nonlocal potential based on diagonal and off-diagonal matrix elements of the ab initio self-energy operator with the Dirac-Coulomb wave functions. The vacuum-polarization part consists of the Uehling contribution which is readily computed for an arbitrary nuclear-charge distribution and the Wichmann-Kroll contribution represented in terms of matrix elements similarly to the self-energy part. Performance of the method is studied by comparing the model-QED-operator predictions with the results of ab initio calculations. The model-QED operator can be conveniently incorporated in any numerical approach based on the Dirac-Coulomb-Breit Hamiltonian to account for the QED effects in a wide variety of superheavy elements.
Comment: 14 pages, 2 figures, 15 tables
Databáze: OpenAIRE