Exact solution of the quasipotential equation with the Coulomb potential in the momentum representation for coupled $s$-states with energy equal to zero
Abstract:
Exact solutions of the three-dimensional modified Kadyshevsky equation in the momentum representation,
describing the bound $s$-states of a system of two scalar particles in the case of the Coulomb potential in the limit of zero energy,
are found. The solution of the problem is obtained by transforming it to an analogue of the Schrödinger equation with
the Coulomb potential in the momentum representation, supplemented by boundary conditions of the special type. The wave
functions and quantization conditions imposed on the coupling constant are obtained.
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