A self-consistent calculation of non-spherical Bose-Einstein correlation functions with Coulomb final-state interaction

TL;DR

This paper develops a self-consistent method for calculating non-spherical Bose-Einstein correlation functions with Coulomb interactions, improving theoretical descriptions of high-energy particle femtoscopy.

Contribution

It generalizes previous spherical models to non-spherical sources and provides a software package for 3D correlation function calculations.

Findings

Validated the approximation assumptions for spherical symmetry

Developed a software package for 3D correlation function calculations

Extended the theoretical framework to non-spherical source functions

Abstract

Particle correlations and femtoscopy are a rich subfield of high-energy physics. As the experimental data become more precise, there is an increasing need for the theoretical calculations to provide better and more general descriptions of the measurements. One of the important new directions is the investigation of the precise shape of the Bose-Einstein correlation functions utilizing L\'evy-stable distributions. This work is a direct follow-up to our previous study, in which we developed a novel method for calculating Bose-Einstein correlation functions including the Coulomb final-state interaction. In this paper, we present a self-consistent generalization of the previous approach to non-spherical source functions and investigate the validity of the previously applied approximations assuming spherical symmetry. We present a software package that includes the calculation of a fully three-dimensional correlation function including the Coulomb interaction.