Heavy Quarkonium States with the Holographic Potential

TL;DR

This paper investigates heavy quarkonium states in quark-gluon plasma using holographic potentials derived from AdS/CFT, calculating dissociation temperatures that align with lattice QCD results.

Contribution

It introduces a holographic potential model with an infrared cutoff to study quarkonium dissociation, providing results consistent with lattice data.

Findings

Dissociation temperatures for J/ψ and Υ are computed.

The holographic model with IR cutoff matches lattice results within a factor of two.

Abstract

The quarkonium states in a quark-gluon plasma is examined with the heavy quark potential implied by the holographic principle. Both the vanila AdS-Schwarzschild metric and the one with an infrared cutoff are considered. The dissociation temperature is calculated by solving the Schr\"o dinger equation of the potential model. In the case of the AdS-Schwarzschild metric with a IR cutoff, the dissociation temperatures for $J/\psi$ and $\Upsilon$ with the U-ansatz of the potential are found to agree with the lattice results within a factor of two.