Relativistic Inverse Problem for the Superposition of a Non-Local Separable Interaction and a Local Quasipotential not Admiting Bound State

Abstract

Within the relativistic quasipotential approach to quantum field theory, a relativistic inverse problem is considered for the superpo­sition of a non-local separable quasipotential and a local one that simulates the interaction between two relativistic spinless particles of unequal masses. Besides, the local part of total interaction is supposed to be known and that it does not admit bound states. Then a non-local separable part of total interaction can be recon­structed on the basis of the additional phase-shift and bound-state energies.