T-Matrix Approach to Quarkonium Correlation Functions in the QGP
arXiv:hep-ph/0611134 · doi:10.1103/PhysRevD.76.114506
Abstract
We study the evolution of heavy quarkonium states with temperature in a Quark Gluon Plasma (QGP) by evaluating the in-medium Q-\bar{Q} T-matrix within a reduced Bethe-Salpeter equation in both S- and P-wave channels. The underlying interaction kernel is extracted from recent finite-temperature QCD lattice calculations of the singlet free energy of a Q-\bar{Q} pair. The bound states are found to gradually move above the Q-\bar{Q} threshold after which they rapidly dissolve in the hot system. The T-matrix approach is particularly suited to investigate these mechanisms as it provides a unified treatment of bound and scattering states including threshold effects and the transition to the (perturbative) continuum. We apply the T-matrix to calculate Q-\bar{Q} spectral functions as well as pertinent Euclidean-time correlation functions which are compared to results from lattice QCD. A detailed analysis reveals large sensitivities to the interplay of bound and scattering states, to temperature dependent threshold energies and to the "reconstructed" correlator used for normalization. We furthermore investigate the impact of finite-width effects on the single-quark propagators in the QGP as estimated from recent applications of heavy-quark rescattering to RHIC data.
24 pages, 17 figures
References in corpus (3)
Cited by in corpus (10)
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- Open and hidden charm in proton-nucleus and heavy-ion collisions
- Potential Models for Quarkonia
- On temperature dependence of quarkonium correlators
- Forward and midrapidity charmonium production at RHIC
- T-matrix approach to heavy quark diffusion in the QGP
- Properties of quark gluon plasma from lattice calculations
- Properties of charmonia in a hot equilibrated medium