Charmonium properties in hot quenched lattice QCD

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 $1.5T_c$. 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 $1.5T_c\lesssim T\lesssim 3T_c$.

Comments: 32 pages, 19 figures, typo corrected, discussions on isotropic vs anisotropic lattices expanded, published version