Non-extensive statistics in Au-Au collisions

TL;DR

This paper explores the application of non-extensive Tsallis statistics to particle yields in central Au-Au collisions at RHIC, finding that a specific non-extensive parameter best matches experimental data, suggesting its relevance in heavy ion collisions.

Contribution

It introduces the use of non-extensive Tsallis statistics to model particle production yields in heavy ion collisions, providing a better fit than traditional free gas models.

Findings

Best fit with q=1.16 indicating non-extensive effects

Non-extensive statistics improve agreement with experimental data

Potential underlying role of non-extensive behavior in heavy ion collisions

Abstract

Particle production yields measured in central Au-Au collision at RHIC are obtained with free Fermi and Bose gases and also with a replacement of these statistics by non-extensive statistics. For the latter calculation, a set of different parameters was used with values of the Tsallis parameter $q$ chosen between 1.01 and 1.25, with 1.16 generating the best agreement with experimental data, an indication that non-extensive statistics may be one of the underlying features in heavy ion-collisions.