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.

Highlights

  • Heavy quarks are an important tool for the investigation of the quark-gluon plasma (QGP)

  • The forces that act on the charm quarks by using the Langevin equation are a drag force and random momentum kicks due to collisions with the medium particles

  • We see that the numerical calculation perfectly fits to the analytic function

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Summary

Introduction

Heavy quarks are an important tool for the investigation of the quark-gluon plasma (QGP). The surviving probability of heavy-quark bound states such as J/ψ or The potential between two heavy quarks is screened by the surrounding medium. Higher temperatures should lead to larger screening effects with a full suppression of J/ψ at very high beam energies.

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