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.