$\pi \Xi$ Correlations: an Interweaving of Resonance Interaction, Channel Coupling and Coulomb Effects

TL;DR

This paper develops a comprehensive method to analyze two-particle correlation functions considering resonance interactions, channel coupling, and Coulomb effects, and applies it to RHIC data to extract source sizes and resonance contributions.

Contribution

It introduces a new formalism for analyzing non-identical particle correlations that incorporates complex interactions and resonance effects, applied to experimental data.

Findings

Successfully describes the $ ho^{*}(1530)$ resonance in data

Extracts the $ ext{pi} ext{-} ext{Xi}$ source size from RHIC measurements

Provides a formula for small distance contributions in resonance reactions

Abstract

A method is presented for analysis of correlation function of two non-identical particles with strong and Coulomb interactions, resonance formation, channel coupling and spin structure. For resonance reactions we derive a formula giving the small distance contribution to the correlation function. The formalism is used to analyze the preliminary RHIC data on $\pi^{\pm} \Xi^{\mp}$ correlation measurements. The $\Xi^{*}(1530)$ resonance is successfully described. The $\pi \Xi$ source size is obtained.