Structure of regular solutions of Faddeev equations near the pair impact point

Abstract

We study the two-and three-dimensional Faddeev equations for a three-particle system with central or S-wave pair interactions. The regular solutions of such equations are represented as infinite series in integer powers of the distance between two particles and the sought functions of the other three-particle coordinates. Constructing such functions reduces to solving algebraic recurrence relations. We derive the boundary conditions at the pair impact point for the regular solutions of the Faddeev equations.