Charmonium properties in hot quenched lattice QCD

TL;DR

This study investigates charmonium states at finite temperature using quenched lattice QCD, revealing their dissociation around 1.5 times the critical temperature and estimating the charm diffusion coefficient across different temperatures.

Contribution

It provides a detailed analysis of charmonium spectral functions at finite temperature and estimates the charm diffusion coefficient in quenched QCD.

Findings

Charmonium states dissociate at about 1.5 T_c.

Charm diffusion coefficient is near zero below T_c.

Diffusion coefficient increases to approximately 1/π T above T_c.

Abstract

We study the properties of charmonium states at finite temperature in quenched QCD on large and fine isotropic lattices. We perform a detailed analysis of charmonium correlation and spectral functions both below and above $T_c$. Our analysis suggests that both S wave states ($J/\psi$ and $\eta_c$) and P wave states ($\chi_{c0}$ and $\chi_{c1}$) disappear already at about $1.5 T_c$. The charm diffusion coefficient is estimated through the Kubo formula and found to be compatible with zero below $T_c$ and approximately $1/\pi T$ at $1.5 T_c\lesssim T\lesssim 3 T_c$.