A study on Bose-Einstein condensation of Pions produced in proton-proton collisions at the large Hadron collider using non-extensive statistics

Abstract

We have studied the pp collisions at the Large Hadron Collider (LHC) and estimated the requirements for the Bose-Einstein condensation in the pion gas formed in such collisions. We have used the Tsallis non-extensive statistics to estimate the transition temperature (Tc) required to form the condensation. We clearly observe that the Tc depends on the non-extensive parameter q. As q decreases the Tc increases and gradually approaches to the Tc obtained from the pion gas which is at equilibrium (q = 1). We also find a threshold of charged particle multiplicity below which the pion condensation is dominant.