# Quarkonium Production in the QGP

## TL;DR

This paper discusses recent theoretical advances in understanding heavy quarkonium production in quark-gluon plasma, utilizing lattice QCD-derived potentials to analyze spectral properties and real-time evolution in heavy-ion collisions.

## Contribution

It introduces a novel approach combining lattice QCD potentials with open-quantum-systems to study quarkonium behavior in the QGP.

## Key findings

- Estimated $ ext{ψ}^ ext{'}$ to $J/ ext{ψ}$ ratio in heavy-ion collisions.
- Demonstrated the use of in-medium potentials for spectral analysis.
- Developed a framework for real-time quarkonium evolution.

## Abstract

We report on recent theory progress in understanding the production of heavy quarkonium in heavy-ion collisions based on the in-medium heavy-quark potential extracted from lattice QCD simulations. On the one hand, the proper in-medium potential allows us to study the spectral properties of heavy quarkonium in thermal equilibrium, from which we estimate the $\psi^\prime$ to $J/\psi$ ratio in heavy-ion collisions. On the other hand, the potential provides a central ingredient in the description of the real-time evolution of heavy-quarkonium formulated in the open-quantum-systems framework.