Multiple-scattering expansions for non-relativistic three-body collision problems

Abstract

A simple derivation of the three-body multiple-scattering expansions from the Faddeev equations is given for non-relativistic elastic, inelastic, rearrangement, and break-up processes. The Faddeev approach to the multiple scatterings is compared with the Watson multiple-scattering theory and is shown to be equivalent to a symmetric version of the Watson multiple-scattering theory, treating all three particles on the same footing. The significance of the Faddeev-Watson expansion is interpreted diagrammatically. The advantages of these expansions lie in the fact that there is no disconnected diagram, suggesting a better convergence behavior. The modifications required by the inclusion of an intrinsic three-body interaction are investigated.