Noniterative Solutions of Integral Equations for Scattering. II. Coupled Channels

Abstract

The recently developed method of homogeneous integral solutions for solving integral equations of scattering is extended to include coupled channels. The formalism is developed in matrix notation and applies without change both to purely local interactions and to combined nonlocal and local interactions. A numerical quadrature method for solving the integral equations is presented. This method does not require iteration or matrix inversions. Further, during the entire calculation of the wavefunction and T (or R) matrix elements, only one or two matrix inversions need be performed (in the case of purely local or local+nonlocal interactions, respectively). It is expected that the method will provide a particularly efficient means of solving coupled equations for scattering problems.