Suppression of bottomonia states in finite size quark gluon plasma in PbPb collisions at Large Hadron Collider

The bottomonium states due to their varying binding energies dissolve at different temperatures and thus their nuclear modification factors and relative yields have potential to map the properties of Quark Gluon Plasma (QGP). We estimate the suppression of bottomonia states due to color screening in an expanding QGP of finite lifetime and size with the conditions relevant for PbPb collisions at LHC. The properties of $\Upsilon$ states and recent results on their dissociation temperatures have been used as ingredient in the study. The nuclear modification factors and the ratios of yields of $\Upsilon$ states are then obtained as a function of transverse momentum and centrality. We compare our theoretical calculations with the bottomonia yields measured with CMS in PbPb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV. The model calculations explain the data very well.