Transverse-momentum spectra and nuclear modification factor using Boltzmann Transport Equation with flow in Pb+Pb collisions at √sNN=2.76 TeV

Abstract

In the continuation of our previous work, the transverse-momentum (pT) spectra and nuclear modification factor (RA A) are derived using the relaxation time approximation of Boltzmann Transport Equation (BTE). The initial pT-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 pT-distribution and nuclear modification factor in nucleus-nucleus collisions. The experimental data for Pb+Pb collisions at sNN=2.76 TeV at the Large Hadron Collider at CERN have been analyzed for pions, kaons, protons, K* 0 and ϕ. 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 pT for all these particles except for protons. RA A is found to be independent of the degree of non-extensivity, qp p after pT∼ 8 GeV/c. © 2017, SIF, Springer-Verlag Berlin Heidelberg.