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

Details $J/ψ$ Gluonic Dissociation Revisited : II. Hydrodynamic Expansion Effects $J/ψ$ Gluonic Dissociation Revisited : II. Hydrodynamic Expansion Effects

2005-03-11

arxiv.org/abs/nucl-th/0503034v1

Eur.Phys.J.C44:567-576,2005

Physics

Nuclear Physics

Nuclear Theory

25 pages, 10 figures

Scientific paper

10.1140/epjc/s2005-02273-2

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.

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