Study of constant mode in charmonium correlators at finite temperature

TL;DR

This paper investigates the impact of a constant mode in charmonium correlators at finite temperature, revealing that it significantly affects the interpretation of charmonium state survival above the deconfinement transition in lattice QCD.

Contribution

It introduces the consideration of the constant mode effect in finite temperature lattice QCD studies of charmonium, providing new insights into the survival of $oldsymbol{ ext{chi}_c}$ states after deconfinement.

Findings

Constant mode significantly alters charmonium correlators above $T_c$

$oldsymbol{ ext{chi}_c}$ states may survive above deconfinement until at least $1.4T_c$

Implication for understanding $J/ ext{psi}$ suppression scenarios

Abstract

Recent studies on the spectral function of charmonium in lattice QCD suggest survival of $J/\psi$ state in the deconfinement phase till relatively high temperature. Based on the studies, different scenarios of $J/\psi$ suppression are discussed to understand experimental results in the Heavy Ion Collision experiments. The scenarios require the information on the dissociation temperatures of $\chi_c$ and $\psi'$ as well as that of $J/\psi$. In order to investigate these states in finite temperature lattice QCD, we have to consider an effect of a characteristic constant mode in the correlators. As a result of the study on the constant mode, we find that most drastic change in charmonium correlators for $\chi_c$ states just above the deconfinement transition are caused by the constant mode. It may indicate the survival of $\chi_c$ states after the deconfinement transition until, at least, $1.4T_c$.