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In the continuation of our previous work, the transverse momentum ($p_T$)spectra and nuclear modification factor ($R_{AA}$) are derived using relaxationtime approximation of Boltzmann Transport Equation (BTE). The initial$p_T$-distribution used to describe $p+p$ collisions has been studied with thepQCD inspired power-law distribution, the Hagedorn's empirical formula and withthe Tsallis non-extensive statistical distribution. The non-extensive Tsallisdistribution is observed to describe the complete range of the transversemomentum spectra. The Boltzmann-Gibbs Blast Wave (BGBW) distribution is used asthe equilibrium distribution in the present formalism, to describe the$p_T$-distribution and nuclear modification factor in nucleus-nucleuscollisions. The experimental data for Pb+Pb collisions at $\sqrt{s_{NN}}$ =2.76 TeV at the Large Hadron Collider at CERN have been analyzed for pions,kaons, protons, $K^{*0}$ and $\phi$. It is observed that the present formalismwhile explaining the transverse momentum spectra upto 5 GeV/c, explains thenuclear modification factor very well upto 8 GeV/c in $p_T$ for all theseparticles except for protons. $R_{AA}$ is found to be independent of the degreeof non-extensivity, $q_{pp}$ after $p_T \sim$ 8 GeV/c.

european physical journal. a, hadrons and nuclei

Transverse Momentum Spectra and Nuclear Modification Factor using  Boltzmann Transport Equation with Flow in Pb+Pb collisions at $\sqrt{s_{NN}}$  = 2.76 TeV