Nuclear Modification Factor in Pb-Pb and p-Pb collisions at $\sqrt{s_{NN}}$=5.02 TeV at LHC energies using Boltzmann Transport Equation with Tsallis Blast Wave Description

TL;DR

This study models the nuclear modification factor in Pb-Pb and p-Pb collisions at 5.02 TeV using Boltzmann Transport Equation with Tsallis Blast Wave, successfully fitting transverse momentum spectra and revealing flow velocity trends.

Contribution

It introduces a novel application of Boltzmann Transport Equation with Tsallis Blast Wave to analyze nuclear modification factors at LHC energies.

Findings

Model fits experimental data up to 8 GeV/c in pT.

Average transverse flow velocity decreases with mass and peripheral collisions.

Results align with hydrodynamical calculations.

Abstract

In this article, we have studied the nuclear modification factor measured in Pb-Pb collisions ($R_{PbPb}$) for $\pi^{\pm}$, $K^{\pm}$, $p+\bar{p}$, $K^{*0} + \bar{K^{*0}}$, $\phi$ and in p-Pb collisions ($R_{pPb}$) for $\pi^{\pm}$, $K^{\pm}$, $p+\bar{p}$ at Large hadron collider (LHC) energy of $\sqrt{s_{NN}}$ = 5.02 TeV for the most central and peripheral collisions. We have also analysed the experimental data of transverse momentum ($p_T$) spectra for these identified hadrons at LHC for Pb-Pb as well as for p-Pb collisions. We have used Boltzmann transport equation (BTE) in relaxation time approximation (RTA) for this analysis. The Tsallis statistics is used as an initial distribution function and The Tsallis blast wave (TBW) model is employed as an equilibrium distribution in BTE. The present model fits the measured transverse momentum spectra, $R_{PbPb}$, and $R_{pPb}$ successfully upto $p_T$ = 8 GeV with a reasonable $\chi^2/ndf$ for all the considered hadrons at various centralities. The experimental data for $R_{pPb}$ are generated using the particle yields at pPb and pp collisions where number of binary collisions are taken from Glauber model calculations. We find that the average transverse flow velocity ($<\beta_r>$) follows the mass and centrality ordering and decreases with the mass as well as when one move from the central collisions to peripheral collisions. These findings are inline with the results of the hydrodynamical calculations.