The distorted-waves theory of direct nuclear reactions with spin-orbit effects

Abstract

A general and flexible formulation is given of the distorted-waves theory of direct nuclear reactions which takes account of the effects of including spin-orbit coupling in the distortion, and which does not make the zero-range approximation. The evaluation of the transition amplitude is shown to involve two distinct steps, one the construction of a form factor which characterizes the particular reaction mode and the particular nuclei, and the other the treatment of the dynamics of the distorted waves, which is similar for all reactions. Expressions are given for various differential cross-sections and polarizations. As examples, procedures for treating inelastic scattering and stripping and knock-on reactions are described. The symmetry properties of the reaction amplitudes are also discussed.