Analytical Expressions for the Differential Elastic Scattering Cross Sections of Nonidentical Nuclear Particles with Channel Spins 3/2 and 5/2

Abstract

In this paper, general analytical expressions are obtained for the differential elastic scattering cross sections of two nuclear particles with allowance for spin-orbit splitting for channels with the half-integer spins 3/2 and 5/2, which are parameterized with respect to the orbital quantum number l. This representation makes it possible to take into account explicitly a definite, energy-dependent number of scattering partial waves and to consider the relative contribution of each partial wave. The obtained expressions can be used when performing phase shift analysis in elastic scattering of nonidentical particles, for example, N²H, N⁶Li, ²H⁷Li, and ²H⁹Be at low energies.