ABSTRACT
Quantum scattering theory is the mathematical modeling of experiments in atomic and nuclear physics in which a target is bombarded by a projectile and the outcome is measured. The goal of the mathematical theory is to predict the probability of the various possible outcomes. In first numerical test considered the scattering of a nonrelativistic system of three identical spin zero particles moving in one dimension and interacting through attractive delta-function potentials. In this case the input Born and overlap matrices were evaluated analytically, and the Mπ-equations were solved used the B-spline collocation method. The computed scattering matrix elements were within 0.5% of the known exact solutions, and the corresponding scattering probabilities were within 0.001% of the exact probabilities both below and above the three-body breakup threshold.
