Nuclear modification factor using Tsallis non-extensive statistics

The nuclear modification factor is derived using Tsallis non-extensive statistics in relaxation time approximation. The variation of the nuclear modification factor with transverse momentum for different values of the non-extensive parameter, q, is also observed. The experimental data from RHIC and LHC are analysed in the framework of Tsallis non-extensive statistics in a relaxation time approximation. It is shown that the proposed approach explains the \( R_{AA}\) of all particles over a wide range of transverse momentum but does not seem to describe the rise in \( R_{AA}\) at very high transverse momenta.