Expanded empirical formula for Coulomb final state interaction in the presence of L\'evy sources

TL;DR

This paper develops an advanced empirical formula to accurately describe Coulomb final state interactions in heavy ion collisions with Lévý sources, improving analysis of momentum correlations in complex systems.

Contribution

It introduces an expanded empirical formula for Coulomb interactions accounting for Lévý sources, enhancing the modeling of correlations in heavy ion reactions.

Findings

The new formula better fits experimental data for extended sources.

Lévý sources effectively describe quantum statistical correlations.

Improved understanding of final state interactions in heavy ion collisions.

Abstract

Measurements of momentum space correlations in heavy ion reactions are a unique tools to investigate the properties of the created medium. However, these analyses require the careful handling of the final state interactions such as the Coulomb repulsion of the involved particles. In small systems such as $e^+ + e^-$ or $p+p$ the well-known Gamow factor gives an acceptable description but in the case of extended sources like that are created in heavy ion collisions, a more sophisticated approach has to be developed. In this paper we expand our previous work on the investigation of the Coulomb final state interaction in the presence of a L\'evy source. Such sources were shown to be a statistically acceptable assumption to describe the quantumstatistical correlation functions in high energy heavy ion reactions.