Charmonium dissociation temperatures in lattice QCD with a finite volume technique

TL;DR

This study investigates the dissociation temperatures of charmonium states in quenched lattice QCD, employing a finite volume technique and boundary condition analysis to distinguish bound states from scattering states.

Contribution

It introduces a method to accurately determine charmonium dissociation temperatures by subtracting constant mode effects and analyzing boundary condition dependence in lattice QCD.

Findings

No evidence of scattering states up to 2.3T_c

Effective extraction of ground and excited state masses

Improved understanding of charmonium stability in hot QCD environments

Abstract

Dissociation temperatures of J/\psi, \psi', and \chi_c states play key roles in the sequential J/\psi suppression scenario for high energy heavy ion collisions. We report on a study of charmonium dissociation temperatures in quenched lattice QCD. On anisotropic lattices, we first subtract the effects of the constant mode in finite temperature meson correlators, which have lead to unphysical results in previous studies. We then extract ground and first exited state masses by diagonalizing correlation functions among different source and sink operators. To distinguish bound states from scattering states, we first compare the charmonium mass spectra under different spatial boundary conditions, and examine the shape and the volume-dependence of their Bethe-Salpeter wave functions. From these studies, we found so far no sign of scattering states up to about 2.3T_c.