Coupled Equations for Rearrangement Collisions

Abstract

An exact set of coupled inhomogeneous equations for rearrangement collisions, analogous to the coupled equations used in ordinary scattering, is derived. The boundary conditions are obtained from the integral equation for scattering. The solutions describing rearrangement are the particular integrals and contain none of the complementary function. Both truncation procedures and distorted-wave approximations are discussed.