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arXiv · 0707.1226

Partial wave interference mechanism in gluonic dissociation of $J/ψ$

Binoy K. Patra·V. J. Menon
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Abstract

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.

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Binoy K. Patra, V. J. Menon. 2007-07-09. Partial wave interference mechanism in gluonic dissociation of $J/ψ$. https://arxiv.org/abs/0707.1226

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