Scattering of Spin-Zero and Spin-Half Particles in Momentum-Helicity Basis

TL;DR

This paper introduces a three-dimensional momentum-helicity basis method for analyzing scattering of spin-zero and spin-half particles, offering an efficient alternative to partial wave techniques at high energies.

Contribution

The paper develops and demonstrates a 3D scattering calculation method using momentum-helicity basis, improving feasibility at high energies compared to traditional partial wave approaches.

Findings

The 3D method accurately computes differential cross sections and polarization.

The approach is computationally advantageous at higher energies.

Results validate the effectiveness of the momentum-helicity basis in scattering analysis.

Abstract

Scattering of 2 particles of spin 0 and 1/2 is evaluated based on a basis constructed from the momentum and the helicity states (the momentum-helicity basis). This shortly called three-dimensional (3D) technique is a good alternative to the standard partial wave (PW) technique especially for higher energies, where PW calculations may become not feasible. Taking as input a simple spin-orbit potential model we calculate as an example the spin averaged differential cross section and polarization.