Event-by-event bottomonia suppression in relativistic heavy-ion collisions

Using the screened Cornell potential and the next-to-leading order perturbative QCD to determine, respectively, the properties of bottomonia and their dissociation cross sections in a quark-gluon plasma, we have studied in a 2+1 ideal hydrodynamics the effect of initial fluctuations on bottomonia production in relativistic heavy-ion collisions. We have found that while initial fluctuations hardly affect the yield of the 1S ground state bottomonium, their effect on that of excited bottomonium states is not small. Compared to the case with smooth initial conditions, the survival probabilities of excited bottomonium states are reduced at low transverse momentum in the case of large initial fluctuations while they are increased in the case of small initial fluctuations as a result of the smearing effect introduced in solving the hydrodynamic equations. The observed suppression of excited bottomonia relative to the ground state bottomonium of an average transverse momentum of 6.25 GeV/c by the Compact Muon Solenoid (CMS) collaborations can, however, be described at present with both smooth and fluctuating initial conditions.