A temperature dependent formation time approach for \Upsilon suppression at LHC

Abstract

We present here a model to describe the bottomonium suppression in Pb$+$Pb collisions at Large Hadron Collider (LHC), at $\sqrt{s_{NN}}=2.76$ TeV by using the quasi-particle model (QPM) equation of state (EOS) for the Quark-Gluon Plasma (QGP) expanding under Bjorken's hydrodynamical expansion. The current model includes the modification of the formation time based on the temperature of QGP, color screening during bottomonium production, gluon induced dissociation and collisional damping. The cold nuclear matter (CNM) effects and decay of higher resonances of bottomonium have also been included in the present work. The final suppression of the bottomonium states, at mid rapidity is calculated as a function of centrality. The results compare closely with the recent data at Large hadron Collider (LHC) in the mid rapidity region for various centrality bins. {\nd \it Keywords } : Color screening, Gluonic dissociation, Collisional damping, Survival probability, CNM effects\\ {\nd \it PACS numbers } : 12.38.Mh, 12.38.Gc, 25.75.Nq, 24.10.Pa