Eur. Phys. J. A (2017) 53: 99
https://doi.org/10.1140/epja/i2017-12283-8

Regular Article - Theoretical Physics

Transverse-momentum spectra and nuclear modification factor using Boltzmann Transport Equation with flow in Pb+Pb collisions at TeV

Discipline of Physics, School of Basic Sciences, Indian Institute of Technology Indore, 453552, Indore, India

^* e-mail: Raghunath.Sahoo@cern.ch

Received: 6 March 2017
Accepted: 17 April 2017
Published online: 18 May 2017

Abstract

In the continuation of our previous work, the transverse-momentum () spectra and nuclear modification factor () are derived using the relaxation time approximation of Boltzmann Transport Equation (BTE). The initial -distribution used to describe p + p collisions has been studied with the perturbative-Quantum Chromodynamics (pQCD) inspired power-law distribution, Hagedorn's empirical formula and with the Tsallis non-extensive statistical distribution. The non-extensive Tsallis distribution is observed to describe the complete range of the transverse-momentum spectra. The Boltzmann-Gibbs Blast Wave (BGBW) distribution is used as the equilibrium distribution in the present formalism, to describe the -distribution and nuclear modification factor in nucleus-nucleus collisions. The experimental data for Pb+Pb collisions at TeV at the Large Hadron Collider at CERN have been analyzed for pions, kaons, protons, and . It is observed that the present formalism while explaining the transverse-momentum spectra up to 5 GeV/c, explains the nuclear modification factor very well up to 8 GeV/c in for all these particles except for protons. is found to be independent of the degree of non-extensivity, after GeV/c.