A formulation without partial wave decomposition for scattering of spin-1/2 and spin-0 particles

TL;DR

This paper introduces a novel momentum-helicity basis method for calculating scattering of spin-1/2 and spin-0 particles, avoiding partial wave decomposition and enabling more efficient high-energy computations.

Contribution

It presents a new technique using momentum-helicity basis states that do not rely on angular momentum expansion, improving calculations at higher energies.

Findings

Method effectively accounts for all angular momentum states.

Calculations with a simple spin-orbit potential demonstrate the approach.

Potential for improved accuracy in high-energy scattering simulations.

Abstract

A new technique has been developed to calculate scattering of spin-1/2 and spin-0 particles. The so called momentum-helicity basis states are constructed from the helicity and the momentum states, which are not expanded in the angular momentum states. Thus, all angular momentum states are taken into account. Compared with the partial-wave approach this technique will then give more benefit especially in calculations for higher energies. Taking as input a simple spin-orbit potential, the Lippman-Schwinger equations for the T-matrix elements are solved and some observables are calculated.