Quarkonia production in a Langevin approach

TL;DR

This paper introduces a Langevin-based model to simulate quarkonia dissociation and recombination in quark-gluon plasma, capturing the system's time evolution and thermalization behavior.

Contribution

It presents a novel Langevin approach to model quarkonia dynamics in a plasma, incorporating temperature effects and equilibrium properties.

Findings

System reaches thermal equilibrium as expected.

Model captures dissociation and recombination processes.

Demonstrates time evolution of charm-anticharm pairs.

Abstract

We aim to describe the process of dissociation and recombination of quarkonia in the quark-gluon plasma. Therefore we developed a model which allows to observe the time evolution of a system with various numbers of charm-anticharm-quark pairs at different temperatures. The motion of the heavy quarks is realized within a Langevin approach. We use a simplified version of a formalism developed by Blaizot et al. in which an Abelian plasma is considered where the heavy quarks interact over a Coulomb like potential. We have demonstrated, that the system reaches the expected thermal distribution in the equilibrium limit.