Ionization potentials and electron affinities of Rg, Cn, Nh, and Fl superheavy elements

Kaygorodov, M. Y.; Usov, D. P.; Eliav, E.; Kozhedub, Y. S.; Malyshev, A. V.; Oleynichenko, A. V.; Shabaev, V. M.; Skripnikov, L. V.; Titov, A. V.; Tupitsyn, I. I.; Zaitsevskii, A. V.

doi:10.48550/arxiv.2202.08304

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2022

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“…[48]. This operator has been successfully applied to the approximate QED calculations in various atomic systems including the superheavy ones [17,[49][50][51][52][53][54][55][56][57][58][59], see also Refs. [60,61].…”

Section: Introductionmentioning

confidence: 99%

Model-QED operator for superheavy elements

et al. 2022

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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 Z 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.

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