Partial wave interference mechanism in gluonic dissociation of $J/\psi$

TL;DR

This paper investigates how hydrodynamic expansion affects gluonic dissociation of $J/$ in quark-gluon plasma, revealing a novel partial wave interference mechanism and its impact on $J/$ survival probabilities at different collider energies.

Contribution

It introduces a new partial wave interference mechanism in gluonic dissociation calculations considering hydrodynamic expansion effects.

Findings

Hydrodynamic expansion significantly influences $J/\psi$ survival probabilities.

The partial wave interference mechanism alters the dissociation rate calculations.

Flow effects differ at LHC and RHIC, affecting $S(p_T)$ differently.

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.