# Equation of states and charmonium suppression in Heavy ion collisions

## TL;DR

This paper extends a quasi-particle model to study charmonium suppression in heavy ion collisions, incorporating medium modifications and comparing results with experimental data from LHC to understand quark-gluon plasma properties.

## Contribution

It introduces a novel application of the quasi-particle model to charmonium suppression, including medium effects and comparison with experimental data.

## Key findings

- Thermodynamic observables fit lattice QCD results.
- Charmonium suppression patterns match experimental data.
- Model successfully describes medium modifications in QGP.

## Abstract

The present article is the follow-up of our work Bottomonium suppression in quasi-particle model, where we have extended the study for charmonium states using quasi-particle model in terms of quasi-gluons and quasi quarks/antiquarks as a equation of state. By employing medium modification to a heavy quark potential thermodynamic observables {\em viz.} pressure, energy density, speed of sound etc. have been calculated which nicely fit with the lattice equation of state for gluon, massless and as well {\em massive} flavored plasma. For obtaining the thermodynamic observables we employed the debye mass in the quasi particle picture. We extended the quasi-particle model to calculate charmonium suppression in an expanding, dissipative strongly interacting QGP medium (SIQGP). We obtained the suppression pattern for charmonium states with respect to the number of participants at mid-rapidity and compared it with the experimental data (CMS JHEP) and (CMS PAS) at LHC energy (Pb+Pb collisions, $\sqrt{s_{NN}}$= $2.76$ TeV).