Direct Reactions: A One Dimensional Toy-Model

A line of research has been developed to describe the structure and the dynamics of weakly-bound systems with one or more valence particles. To simplify the problem we are assuming particles moving in one dimension. Within this model one can describe, for example, direct reactions involving one or two valence neutrons: inelastic scattering, breakup and transfer processes. Exact solutions obtained by directly solving the many-body time-dependent Schrodinger equation can be compared with the results obtained with different approximate schemes (first-order, coupled channels, continuum discretization, etc.). In this contribution we concentrate on inelastic scattering.