Abstract

We present the generalized advanced energy approach to relativistic calculations of the radiative decay (transition) probabilities in neutral multielectron atomic systems and multicharged ions. The approach is based on the Gell-Mann and Low S-matrix formalism and relativistic many-body perturbation theory (PT), using an optimized one-quasiparticle representation and an accurate account of relativistic and correlation effects. In the relativistic case, the Gell-Mann and Low formula expresses an energy shift \( \Delta E \) through the electrodynamical scattering matrix including an interaction with a laser field as a photon vacuum field. The last case is corresponding to traditional definition of the radiative transition probabilities for atoms and ions. The results of relativistic calculation of the radiative transition probabilities and oscillator strengths are presented for a number of heavy atoms and multicharged ions and compared with available theoretical and experimental data. The role of the correlation corrections and gauge non-invariant contributions to the radiation widths for different atoms and ions is discussed.

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