Faddeev equations and the method of hyperspherical harmonics in the problem of three-nucleon continuum

Abstract

A method for solving the Faddeev equations in configuration space is developed for a three nucleon system in the continuum by using the decomposition over a hyperspherical basis. The wave functions of Nd system, phase shifts, and cross sections of Nd scattering at subthreshold energies are calculated. Also, within the framework of this method, one dimensional integral equations are formulated for the problem of infinite motion of all three strongly interacting particles, and the Faddeev equations for a system of three had rons with Coulomb interaction in the continuum are modified. Similar methods of investigation of three par ticle systems are reviewed.