$J/ψ$ Gluonic Dissociation Revisited : II. Hydrodynamic Expansion Effects
Abstract
Description
We explicitly take into account the effect of hydrodynamic expansion profile on the gluonic breakup of $J/ψ$'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 $<\tildeΓ>$, and $ψ$ survival probability $S$. A novel type of partial wave {\em interference} mechanism is found to operate in the formula of $<\tildeΓ>$. 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.
25 pages, 10 figures
25 pages, 10 figures