Abstract
A relativistic inverse problem is solved for the case in which the total quasipotential describing the interaction of two relativistic spinless particles with unequal masses is represented by a superposition of the local quasipotential and the sum of nonlocal separable quasipotentials. Consideration is performed within the framework of the relativistic quasipotential approach of quantum field theory. The local part of the total interaction is supposed to be known. It admits the existence of the bound states. It is demonstrated that the components of the nonlocal separable part of the total interaction can be reconstructed if its local part, phase shift increments, and energies of the bound state are known.
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