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Abstract: (Elsevier)
We study quarkonium in hot QCD, emphasizing its nature as a short-lived transient with an exponentially decaying wave function. The heavy quark mass allows for a nonrelativistic expansion around the two-quark threshold, and the static potential is then seen to contain a temperature-dependent imaginary part, which leads to an unstable quark-antiquark state. We solve the corresponding Schrodinger equation and estimate the spectral functions in different channels. In particular, through careful evalu ation we find a peak also in the scalar channel, although it is strongly suppressed with respect to the vector channel peak. We also plot the dilepton production rate, which shows a peak-like structure even at temperatures so high that the peak in the spe ctral function has disappeared.
  • 25.75.Cj
  • Quark-gluon plasma
  • quarkonium
  • quarkonium: heavy
  • expansion: nonrelativistic
  • quark gluon: plasma
  • potential: static
  • heavy quark
  • quark: mass
  • spectral representation