Український математичний конгрес - 2009
Татьяна Флорко (Одесский государственный экологический университет, Одесса, Украина)
Spectra of hadronic atomic systems in QED perturbation theory with optimized Dirac-Fock zeroth approximation
The gauge-invariant QED perturbation theory  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 . The wave functions zeroth basis is found from the Klein-Gordon (or Dirac) equations. The potential includes the self-conjunctive 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 hadron-nuclear interaction (hadron atoms). The correlation corrections of high orders are accounted for within the Green function method. The magnetic inter-electron interaction is accounted for in the lowest order, the Lamb shift polarization part- in the Uehling-Serber approximation and the self-energy part – within the Green functions method. Numerical estimates are given for shifts and widths of the transitions in some hadronic atoms .