Elliptic flow in Pb+Pb collisions at √s NN=2.76 TeV at the LHC using Boltzmann transport equation with non-extensive statistics

Abstract

Elliptic flow in heavy-ion collisions is an important signature of a possible de-confinement transition from hadronic phase to partonic phase. In the present work, we use non-extensive statistics, which has been used for transverse momentum (pT) distribution in proton+proton (p+ p) collisions, as the initial particle distribution function in Boltzmann Transport Equation (BTE). A Boltzmann-Gibbs Blast Wave (BGBW) function is taken as an equilibrium function to get the final distribution to describe the particle production in heavy-ion collisions. In this formalism, we try to estimate the elliptic flow in Pb+Pb collisions at s NN =2.76 TeV at the LHC for different centralities. The elliptic flow (v2) of identified particles seems to be described quite well in the available pT range. An approach which combines the non-extensive nature of particle production in p+ p collisions through an evolution in kinetic theory using BTE, with BGBW as an equilibrium distribution is successful in describing the spectra and elliptic flow in heavy-ion collisions.