Nuclear Modification Factor Using Tsallis Non-extensive Statistics

TL;DR

This paper derives the nuclear modification factor using Tsallis non-extensive statistics within a relaxation time framework, analyzing experimental data from RHIC and LHC to explain particle suppression over a broad momentum range.

Contribution

It introduces a novel application of Tsallis non-extensive statistics to model the nuclear modification factor in heavy-ion collisions.

Findings

The approach explains $R_{AA}$ across a wide transverse momentum range.

It does not capture the rise in $R_{AA}$ at very high transverse momenta.

The variation of $R_{AA}$ with the non-extensive parameter $q$ is studied.

Abstract

The nuclear modification factor is derived using Tsallis non-extensive statistics in relaxation time approximation. The variation of nuclear modification factor with transverse momentum for different values of non-extensive parameter, $q$, is also observed. The experimental data from RHIC and LHC are analysed in the framework of Tsallis non-extensive statistics in a relaxation time approximation. It is shown that the proposed approach explains the $R_{AA}$ of all particles over a wide range of transverse momenta but doesn't seem to describe the rise in $R_{AA}$ at very high transverse momenta.