Model of an effective separable potential in the problem of three one-dimensional quantum particles

Bagmutov A. S., Levin S. B., Toropov B. O. Model of an effective separable potential in the problem of three one-dimensional quantum particles. In this paper, we construct an effective model for studying the asymptotic solution of the scattering problem of three one-dimensional quantum particles with finite (short-range) attractive pair potentials that support bound states. The asymptotic nature of the solution is determined by the rapid decrease of its residual in the Schr?dinger equation.