Abstract
Quarkonium suppression is one of the more useful observables to obtain information about the hot medium created in ultrarelativistic heavy-ion collisions. In this manuscript, we discuss a simple way to implement both the initial-state effects and the hot-medium evolution, and to compute the quarkonium nuclear modification factor if the survival probability for a bound state at a given energy density is known. Based on the Glauber model, the temperature of the evolving medium and the centrality dependence of the nuclear modification factor will be analysed.
Highlights
Quarkonium suppression was proposed in [1] as a signal of a formation of a quark-gluon plasma
We need to add as input some information about the initial state of the medium, usually the initial energy density at any point in the transverse plane, and the initial time at which a hydrodynamic description of the medium is valid
To a very good approximation, this is equivalent to assuming that the initial energy density at a given point in the transverse plane is proportional to the density of participant nucleons at that point
Summary
Quarkonium suppression was proposed in [1] as a signal of a formation of a quark-gluon plasma. This simple model offers the advantage of being completely analytical and provides a reasonable description of proton-nucleus data Our aim in this manuscript is to provide a simple method to compute the nuclear modification factor in heavy-ion collisions, taking into account initial nuclear matter and hot-medium effects. We remark that our aim is not to model quarkonium interaction with a medium but to provide a prescription to include initial effects and temperature evolution for a quarkonium computation in a hot environment. This prescription has the advantage that the effects of shadowing can be incorporated in a straightforward way using analytical formulas.
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