Numerical solution of the two-dimensional Logunov – Tavkhelidze equation with the sum of two separable potentials in the momentum representation

Abstract

A numerical solution of the two-dimensional quasipotential Logunov – Tavkhelidze equation describing the bound states of systems of two identical scalar particles when simulating their interaction by the sum of two separable potentials in the momentum representation is found. The results obtained are illustrated by plots of the dependences of the partial wave functions and the energy of the system on the momentum and the coupling constant, respectively.