Study of Charmonia near the deconfining transition on an anisotropic lattice with O(a) improved quark action

TL;DR

This study investigates heavy quarkonium states near the deconfining transition in quenched lattice QCD using an improved Wilson action on anisotropic lattices, revealing persistent spatial correlations above the critical temperature.

Contribution

It introduces an $O(a)$ improved Wilson action on anisotropic lattices for studying heavy quarkonia at finite temperature, providing new insights into their behavior near the deconfining transition.

Findings

Correlators change significantly near T_c

Strong spatial correlations survive above T_c

Quarkonium wave functions remain similar to confinement phase

Abstract

We study hadron properties near the deconfining transition in the quenched lattice QCD simulation. This paper focuses on the heavy quarkonium states, such as $J/\psi$ meson. In order to treat heavy quarks at $T>0$, we adopt the $O(a)$ improved Wilson action on anisotropic lattice. We discuss $c\bar{c}$ bound state observing the wave function and compare the meson correlators at above and below $T_c$. Although we find a large change of correlator near the $T_c$, the strong spatial correlation which is almost the same as confinement phase survives even $T\sim 1.5T_c$.