Investigation of Nuclear Modification Factor from RHIC to LHC energies using Boltzmann Transport equation in conjunction with q-Weibull distribution

TL;DR

This paper develops a theoretical model using Boltzmann Transport equation and q-Weibull distribution to analyze the nuclear modification factor across RHIC and LHC energies, showing good agreement with experimental data.

Contribution

The paper introduces a novel model combining Boltzmann Transport and q-Weibull distribution to describe nuclear modification factors at various collision energies.

Findings

Good agreement with experimental data across energies

Linear mass dependence of certain model parameters

Model effectively describes charged hadron and particle data

Abstract

The study of nuclear modification factor is crucial in advancing our knowledge of the hot and dense nuclear matter created during high energy heavy-ion collision. In this direction, we have developed a theoretical model for the nuclear modification factor using the Boltzmann Transport equation in relaxation time approximation with the q-Weibull distribution as the final state distribution and studied the experimental data of nuclear modification factor of charged hadrons as well as identified particles at various energies ranging from 7.7 GeV measured at RHIC upto the maximum value of 5.44 TeV studied in LHC. We observed a good agreement between the model and the experimental data as can be quantified using the $\chi^2$/NDF values. We have also studied the mass dependence of different fit parameters that appears in the theoretical model and observe a linear mass dependence of some parameters.