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
Summary
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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