On meson melting in the quark medium

TL;DR

This paper investigates the melting behavior of heavy mesons in quark-gluon plasma using AdS/CFT, revealing how finite coupling effects influence meson stability and extending analysis to excited states.

Contribution

It introduces a holographic approach to study meson melting, including finite coupling corrections and rotational effects on excited states.

Findings

Finite coupling decreases inter-quark distance.

Heavy mesons melt at higher temperatures with finite coupling.

Rotating mesons provide insights into excited state melting.

Abstract

We consider a heavy quark-antiquark $(q\bar{q})$ pair as a heavy meson in the medium composed of light quarks and gluons. By using the AdS/CFT correspondence, the properties of this system are investigated. In particular, we study the inter-quark distance and it is shown that the mechanism of melting in the quark-gluon plasma and in the hadronic phase are the same. It is found that by considering finite coupling corrections, the inter-quark distance of a heavy meson decreases. As a result a heavy meson like $J/ \psi$ will melt at higher temperatures. By considering rotating heavy mesons, we discuss melting of exited states like $\chi_c$ and $\psi'$.