COULOMB TWO-BODY PROBLEM WITH INTERNAL STRUCTURE

Abstract

Using the theory of extensions with the transition into the enlarged Hilbert space, the model of two-body problem is constructed which describes the interaction of the external (Coulomb) and internal (quark) channels. The reciprocal influence of channel Hamiltonians is studied which leads, in particular, to a rearrangement of spectra of hadronic atoms. An explicit representation for the S-matrix is obtained and its singularities on the energy shell are analysed. I