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2007
DOI: 10.1103/physrevd.75.074009
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Quarkonia in the deconfined phase: Effective potentials and lattice correlators

Abstract: The Schroedinger equation for the charmonium and bottomonium states at finite temperature is solved by employing an effective temperature dependent potential given by a linear combination of the color singlet free and internal energies obtained on the lattice from the Polyakov loop correlation functions. The melting temperatures and other properties of the quarkonium states are evaluated.The consistency of the potential model approach with the available lattice data on the quarkonium temporal correlators and s… Show more

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Cited by 103 publications
(165 citation statements)
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“…Such width slightly above T c is larger than that estimated from a perturbative LO and NLO QCD matrix element calculation together with an assumption of weakly interacting quarks and gluons with thermal masses [18,19], but smaller than a recent phenomenological estimate [20]. The mass of quarkonium at finite temperature was also investigated in the potential models [21], where the mass was found to decrease at high temperature. However, the potential has to be extracted from the lattice at each temperature and hence a more detailed investigation are needed to identify the critical behaviour of J/ψ in the temperature region near T c .…”
Section: Qcd Sum Rule Resultsmentioning
confidence: 92%
“…Such width slightly above T c is larger than that estimated from a perturbative LO and NLO QCD matrix element calculation together with an assumption of weakly interacting quarks and gluons with thermal masses [18,19], but smaller than a recent phenomenological estimate [20]. The mass of quarkonium at finite temperature was also investigated in the potential models [21], where the mass was found to decrease at high temperature. However, the potential has to be extracted from the lattice at each temperature and hence a more detailed investigation are needed to identify the critical behaviour of J/ψ in the temperature region near T c .…”
Section: Qcd Sum Rule Resultsmentioning
confidence: 92%
“…The results of these calculations have been compared to lattice results and no agreement has been found. Very recently this approach has been extended using the full nonrelativistic Green's function of heavy quark antiquark pairs to estimate the spectral function and the corresponding Euclidean correlators [21,22,33]. However, even in these approaches no agreement with lattice calculations has been found.…”
Section: Introductionmentioning
confidence: 99%
“…While in these works phenomenological potentials have been used, more recent studies went one step further and attempted to connect the potential to lattice calculations of the finite temperature free energy of a static quark antiquark pair [15,16,17,18,19,20,21,22].…”
Section: Introductionmentioning
confidence: 99%
“…In practice, determination of the screening radius r D (T ) turned out to be a remarkably difficult problem even in a static medium. The existing approaches to solve this problem include lattice QCD calculations of quarkonium correlators [2][3][4][5][6][7], construction of potential models of quarkonium spectral functions [8][9][10][11][12][13][14], and use of effective field theory [15][16][17]. It is remarkable that in spite of much progress there still exists substantial uncertainty in the value of the J/ψ dissociation temperature and in the functional form of r D (T ); see, e.g., [18,19].…”
Section: Introductionmentioning
confidence: 99%