Finite size effect on gluon dissociation of J/psi in relativistic heavy ion collisions

TL;DR

This paper investigates how the finite longitudinal size of quark matter affects the gluon-induced dissociation rate of J/psi particles in relativistic heavy ion collisions, revealing size-dependent suppression behavior.

Contribution

It introduces a finite size model for quark matter and studies its impact on J/psi dissociation rates, highlighting a maximum suppression at a specific size.

Findings

Dissociation rate peaks at a certain longitudinal size L_m.

Suppression is weak below L_m despite high temperature.

Rate approaches thermodynamic limit as size increases.

Abstract

Thermal quantities, including the the entropy density and gluon spectrum, of quark matter within a box that is finite in the longitudinal direction are calculated using a bag model. Under the assumption of entropy conservation, the corresponding gluon dissociation rate of J/psi is studied. It reaches a maximum at a certain longitudinal size L_m, below which the suppression is weak even if the temperature becomes higher than that without the finite size effect, and above which the dissociation rate approaches to the thermodynamic limit gradually with increasing longitudinal size of the fireball.