Український математичний конгрес  2009
Татьяна Флорко (Одесский государственный экологический университет, Одесса, Украина) Spectra of hadronic atomic systems in QED perturbation theory with optimized DiracFock zeroth approximation The gaugeinvariant QED perturbation theory [1] is used in order to describe spectra of hadronic atomic systems and superheavy ions with an account of relativistic, correlation, nuclear, radiative effects Zeroth approximation is generated by the effective ab initio model functional, constructed on the basis of the comprehensive gauge invariance procedure [2]. The wave functions zeroth basis is found from the KleinGordon (or Dirac) equations. The potential includes the selfconjunctive ab initio potential, the electric and polarization potentials of a nucleus (within the Fermi and Gauss models). For low orbits there are important effects due to the strong hadronnuclear interaction (hadron atoms). The correlation corrections of high orders are accounted for within the Green function method. The magnetic interelectron interaction is accounted for in the lowest order, the Lamb shift polarization part in the UehlingSerber approximation and the selfenergy part – within the Green functions method. Numerical estimates are given for shifts and widths of the transitions in some hadronic atoms [3]. References:
