Wave-packet solution of time-dependent Faddeev Equations using a mixed basis in Jacobi and Hypersherical Momenta

Abstract

Having demonstrated in a recent study that the wave packet method based on the time-dependent Faddeev equations (abbreviated as TDFE-WP method) provide a viable computational tool for three-particle scattering problems, a variant of the said method is explored in the present study. In the TDFE-WP method, each Faddeev component of the time-dependent wave-packet is expanded in a basis appropriate for the corresponding rearrangement. In the present version, the basis for each rearrangement consists of a Jacobi subset suitable to describe the spectator-bound pair final states and another subset that is more appropriate for three free particles. The expectation that such a mixed basis may be more efficient to describe the time evolution of Faddeev components is borne out by present calculations.