$J/\psi$ Gluonic Dissociation Revisited : II. Hydrodynamic Expansion Effects

Abstract

We explicitly take into account the effect of hydrodynamic expansion profile on the gluonic breakup of $J/\psi$'s produced in an equilibrating parton plasma. Attention is paid to the space-time inhomogeneities as well as Lorentz frames while deriving new expressions for the gluon number density $n_g$, average dissociation rate $<\tilde{\Gamma }>$, and $\psi$ survival probability $S$. A novel type of partial wave {\em interference} mechanism is found to operate in the formula of $<\tilde{\Gamma }>$. Nonrelativistic longitudinal expansion fro small length of the initial cylinder is found to push the $S(p_T)$ graph above the no flow case considered by us earlier \cite{rev1}. However, relativistic flow corresponding to large length of the initial cylinder pushes the curve of $S(p_T)$ downwards at LHC but upwards at RHIC. This mutually different effect on $S(p_T)$ may be attributed to the different initial temperatures generated at LHC and RHIC.

arXiv comment25 pages, 10 figures

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• Charmonium suppression in the presence of dissipative forces in a strongly coupled quark-gluon plasma
• $J/\psi$ suppression in Au+Au collisions at RHIC : colour screening scenario in the bag model at variable participant numbers
• J/psi Elliptic Flow, High pT Suppression and Upsilon Measurements in A+A Collisions by the PHENIX Experiment
• Velocity-induced Heavy Quarkonium Dissociation using the gauge-gravity correspondence
• J/ψ$ Gluonic Dissociation Revisited : III. Effects of Transverse Hydrodynamic Flow
• Highlights from PHENIX-I: Initial State and Early Times