Spectroscopy of the hadronic atoms and superheavy ions: spectra, energy shifts and widths, hyperfine structure

Full text: This paper is devoted to calculation of the spectra, radiative corrections, hyperfine structure parameters for exotic hadronic atoms and heavy ions with account of the definite nucleus structure modelling. One of the main purposes is to establish a quantitative link between quality of the nucleus structure modelling and accuracy of calculating energy and spectral properties of systems. We apply our numerical code to calculating spectra of the hadronic (pion, kaon, hyperon) atoms. A new, highly exact, ab initio approach to relativistic calculation of the spectra for superheavy ions with an account of relativistic, correlation, nuclear, radiative effects on the basis of gauge-invariant QED perturbation theory is used. 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 (pion atom) or Dirac (kaon, hyperon) equation. The potential includes the core ab initio potential, the electric and polarization potentials of a nucleus (the Fermi model, the gaussian form of charge distribution in the nucleus and the uniformly charged sphere are considered). For low orbits there are important effects due to the strong hadron-nuclear interaction (pion atom). The energy shift is connected with length of the hadron-nuclear scattering (scattering amplitude under zeroth energy). For superheavy ions the correlation corrections of high orders are accounted within the Green functions method. The magnetic inter-electron interaction is accounted in the lowest order, the Lamb shift polarization part - in the Uhling-Serber approximation, self-energy part - within the Green functions method. We carried out calculations: 1. energy levels, hfs parameters for superheavy H and Li-like ions for different models of charge distribution in a nucleus and super heavy atom Z=114; 3. shifts and widths of transitions (2p-1s,3d-2p, 4f-3d) in some pionic and kaonic atoms (18O, 24Mg etc.) and also K-4He. (author)