# Influence of correlations between yields on the chemical freeze-out temperature

## TL;DR

This study investigates how correlations between hadron yields influence the determination of the chemical freeze-out temperature in high-energy nucleus-nucleus collisions, using a generalized statistical model that accounts for yield correlations.

## Contribution

It introduces a more general statistical approach that incorporates yield correlations into the analysis of chemical freeze-out parameters, including light nuclei.

## Key findings

- Dependence of freeze-out temperature on correlations is weak.
- Correlations have limited impact on baryon chemical potential.
- The analysis is exploratory due to lack of comprehensive data.

## Abstract

A statistical (thermal) model is applied to the description of hadron yields measured at central nucleus-nucleus collisions at the top RHIC energy $\sqrt{s_{NN}} = 200$ GeV and the LHC energy $\sqrt{s_{NN}} = 2.76$ TeV. In contrast to the previous analyzes a more general form of the least squares test statistic is used, which takes into account also possible correlations between different species of yields. In addition to hadrons also light nuclei are included in the fits. Because of the lack of data, a toy model is constructed where the correlation coefficients are just free parameters. Because of this the presented considerations are speculative and should be treated as an imperfect illustration of the problem. Within these limitations it is impossible to formulate any definite conclusion, it might be only mentioned that for the considered examples the dependence of the freeze-out temperature and baryon chemical potential on correlations turned out to be weak.