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$J/\psi$ gluonic dissociation revisited: II. Hydrodynamic expansion effects
Authors:Email author" target="_blank">B?K?PatraEmail author  V?J?Menon
Institution:(1) Department of Physics, Indian Institute of Technology, 247 667 Roorkee, India;(2) Department of Physics, Banaras Hindu University, 221 005 Varanasi, India
Abstract:We explicitly take into account the effect of the hydrodynamic expansion profile on the gluonic break-up of the $J/\psi$ '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 ng, the average dissociation rate $\langle \tilde{\Gamma} \rangle$ , and the survival probability of $\psi$ , S. A novel type of partial wave interference mechanism is found to operate in the formula of $\langle \tilde{\Gamma} \rangle$ . A non-relativistic longitudinal expansion from the small length of the initial cylinder is found to push the S(pT) graph above the no flow case considered by us earlier 9]. However, the relativistic flow corresponding to the large length of the initial cylinder pushes the curve of S(pT) downwards at LHC but upwards at RHIC. This mutually different effect on S(pT) may be attributed to the different initial temperatures generated at LHC and RHIC. Received: 16 March 2005, Published online: 27 September 2005 PACS: 12.38.Mh
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