Configuration-Space Approach to Three-Particle Scattering

Abstract

A configuration-space approach to the three-particle problem which has been proposed for bound states in previous publications is generalized to include scattering states. It is illustrated for the case of nucleon-deuteron scattering. The coupling between the elastic and the inelastic channel can be treated in an elegant way. The problem is reduced approximately to a finite system of coupled differential equations, in which the unknown functions depend on a single variable only. An iteration procedure for the solution is proposed. The accuracy of the method is tested for a simple example.