Langevin dynamics of $J/\psi$ in a parton plasma

Abstract

We consider the Brownian motion of a $c\bar{c}$ pair produced in the very early satge of a quark-gluon plasma. The one-dimensional Langevin equation is solved formally to get purely mechanical properties at small and large times. Stochastically-averaged variances are examined to extract the time scales associated with swelling and ionization of the bound state. Simple numerical estimates of the time scales are compared with other mechanisms of $J/\psi$ suppression.

18 pages with a figure

References in corpus (3)

• Equilibrium Distribution of Heavy Quarks in Fokker-Planck Dynamics
• $J/\psi$ suppression: gluonic dissociation {\em vs.} colour screening
• Determination of equation of state of quark matter from $J/\psi$ and ${\rm Y}$ suppression at RHIC and LHC

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