Extended Variable Phase Method for Spin-1/2 Correlation Functions

TL;DR

This paper introduces an extended variable phase method to compute spin-1/2 particle correlation functions, including noncentral interactions, with applications to nucleon-nucleon correlations using the Reid potential.

Contribution

It extends the variable phase method to handle noncentral potentials and applies it to nucleon-nucleon correlation functions with detailed numerical analysis.

Findings

Partial-wave contributions to nucleon-nucleon correlations are evaluated.

Correlation functions are compared for Gaussian sources of different sizes.

Abstract

We have developed a systematic approach to calculate the correlation function for spin-1/2 particles, incorporating both central and noncentral components of the interparticle interaction. This is achieved by extending the variable phase method to accommodate noncentral potentials and numerically solving the Schr\"odinger equation. Within this framework, the partial-wave contributions to the nucleon-nucleon correlation functions adopting the Reid soft-core potential are evaluated. The resulting correlation functions are then compared for Gaussian sources of different sizes.