Релятивистская обратная задача для суммы нелокальных сепарабельных квазипотенциалов

Abstract

A relativistic inverse problem is solved for the case when the total quasipotential simulating the interaction of two relativistic spinless particles of unequal masses is the superposition of a local quasipotential and a sum of nonlocal separable quasipotentials. The problem is investigated within the relativistic quasipotential approach to quantum field theory. The local component of total interaction is supposed to be known and it not admits bound stat.es. It is shown that the. nonlocal separable components of total interaction may be reconstructed if its the local component, the additionals phase shift and the true bound state energy are known.