Two‐body resonance scattering and annihilation of composite charged particles

Abstract

A model of two‐body scattering including interaction between the external (Coulomb) and internal (e.g., quark) channels is constructed and investigated. A mathematically strict description is based on extensions theory for symmetric operators. Extra (internal) channel simulates complicated structure of charged particles and generates energy‐dependent effective interaction in the external channel. The main effects of this short‐range energy‐dependent interaction in the system of charged particles (Zel’dovich effect, appearance of resonances, relative shift formula, and so on) are studied. Both for models of zero–range and nonzero–range energy‐dependent interaction stationary scattering theory is constructed. In the frames of the same method a model of a system with extra (annihilation) scattering channel is considered.