Integer and half-integer channel spins for elastic scattering cross sections

A. S. Tkachenko; R. Ya. Kezerashvili; N. A. Burkova; S. B. Dubovichenko

doi:10.1016/j.nuclphysa.2019.121609

paper

Integer and half-integer channel spins for elastic scattering cross sections

arXiv:1905.01819 · doi:10.1016/j.nuclphysa.2019.121609

Abstract

We present the analytical expressions for the differential cross sections and independent partial amplitudes for elastic scattering of nuclear particles for channels with a spin value of 1/2, 1, 3/2, 2 and 5/2. The independent partial amplitudes are presented for arbitrary orbital angular momentum $l$ and taking into account spin-orbit splitting. The analytical expressions allow one to carry out full phase shift analyses using experimental data for differential cross sections for processes with channel spins 1/2, 1, 3/2, 2 and 5/2.

33 pages