Transverse Momentum Distribution in Heavy Ion Collision using q-Weibull Formalism

TL;DR

This paper introduces a q-Weibull distribution model based on Tsallis q-statistics to accurately describe the transverse momentum distribution of charged hadrons in heavy ion collisions across a wide pT range, replacing traditional thermal models.

Contribution

The study develops and applies a novel q-Weibull distribution incorporating Tsallis q-statistics to model particle production in heavy ion collisions, providing a better fit to experimental data.

Findings

Model describes data remarkably well across entire pT range

Parameters relate to complex collision dynamics

Replaces traditional thermal equilibrium assumptions

Abstract

We have implemented the Tsallis q-statistics in the Weibull model of particle production known as the q-Weibull distribution to describe the transverse-momentum (pT ) distribution of the charged hadrons at mid-rapidity measured at RHIC and LHC energies. The model describes the data remarkably well for the entire pT range measured in nucleus-nucleus and nucleon-nucleon collisions. The proposed distribution is based on the non-extensive Tsallis q-statistics which replaces the usual thermal equilibrium assumption of hydrodynamical models. The parameters of the distribution can be related to the various aspects of complex dynamics associated with such collision process.