Abstract
The combined relativistic energy approach and relativistic many-body perturbation theory with the zeroth order Dirac-Kohn-Sham one-particle approximation are used for estimating the energies the in Rydberg autoionization 4f5/2,7/2n’f J=6,5,4 states, excited from the initial state 5d3/215f J=5 in spectrum of the barium atom. The comparison with available theoretical and experimental (compillated) data is performed. The important point is linked with an accurate accounting for the complex exchange-correlation (polarization) effect contributions and using the optimized one-quasiparticle representation in the relativistic many-body perturbation theory zeroth order that significantly provides a physically reasonable agreement between theory and precise experiment.
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