Решение релятивистского квазипотенциального уравнения для суммы нелокальных сепарабельных квазипотенциалов

Abstract

Solving of the finite-difference quasipotential equation involving a total quasipotential simulating the inter­action of two relativistic epinlees particles of unequal masses is obtained. The total interaction consisting of the superposition of a local quasipotential and a sum of nonlocal separable quasipotentials is the spherically symmetric quasipotential and it admits one true bound state. The problem is investigated within the relativistic quasipotential approach to quantum field theory. Explicit expressions are obtained for the additionals of the phase shift and their properties are investigated, the conditions under which bound states may exist are determined and the Levinson theorem is generalized.