2-BODY RESONANCE SCATTERING AND ANNIHILATION OF COMPOSITE CHARGED-PARTICLES

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.