Charmonium Spectra at Finite Temperature from QCD Sum Rules with the Maximum Entropy Method

Gubler, Philipp; Morita, Kenji; Oka, M.

doi:10.1103/physrevlett.107.092003

Cited by 73 publications

(72 citation statements)

References 26 publications

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“…Applying MEM to QCD sum rules was successfully performed for the ρ meson in [42] and the nucleon in [43,44]. We follow the same procedure as [18] for the QCD sum rules of heavy quarkonia at finite temperature.…”

Section: Analysis Proceduresmentioning

confidence: 99%

“…They include Lattice QCD [4,5,6,7,8,9,10,11,12,13], QCD sum rules [14,15,16,17,18], AdS/QCD [19,20,21,22], resummed perturbation theory [23,24], and effective field theories [25,26] as well as potential models [11,27,28,29,30,31,32,33,34,35,36]. Most of the previous studies were devoted to the charmonium spectra, while, for bottomonia, there are only a few theoretical results [12,17,27,29,33,34,35,37], and it is important that they are examined by independent methods.…”

Section: Introductionmentioning

confidence: 99%

“…In a previous work [18], we have investigated the behavior of charmonium spectral functions at finite temperature from QCD sum rules with the maximum entropy method (MEM). Our approach enables us to extract directly the shape of the spectral functions.…”

Section: Introductionmentioning

confidence: 99%

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Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method

et al. 2013

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The bottomonium spectral functions at finite temperature are analyzed by employing QCD sum rules with the maximum entropy method. This approach enables us to extract the spectral functions without any phenomenological parametrization, and thus to visualize deformation of the spectral functions due to temperature effects estimated from quenched lattice QCD data. As a result, it is found that Υ and η b survive in hot matter of temperature up to at least 2.3T c and 2.1T c , respectively, while χ b0 and χ b1 will disappear at T < 2.5T c . Furthermore, a detailed analysis of the vector channel shows that the spectral function in the region of the lowest peak at T = 0 contains contributions from the excited states, Υ(2S ) and Υ(3S ), as well as the ground states Υ(1S ). Our results at finite T are consistent with the picture that the excited states of bottomonia dissociate at lower temperature than that of the ground state. Assuming this picture, we find that Υ(2S ) and Υ(3S ) disappear at T = 1.5 − 2.0T c .

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Section: Analysis Proceduresmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method

et al. 2013

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“…To handle these problems, we propose to use MEM, which allows us to extract the spectral function from the OPE without prejudice on its functional form. In these proceedings, we can only show the most important results of our investigation, while more details can be found in [7,8].…”

Section: Introductionmentioning

confidence: 99%

Thermal modication of bottomonium spectral functions from QCD sum rules

Oka¹,

Suzuki²,

Morita³

et al. 2013

Proceedings of the 7th International Workshop on Chiral Dynamics — PoS(CD12)

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Quarkonium spectral functions at finite temperature are studied in QCD sum rules. We apply a recently developed method of analyzing QCD sum rules by the maximum entropy method. This approach enables us to obtain the spectral function directly from the sum rules, without having to introduce any specific assumption, such as pole plus continuum, about its functional form. Finite temperature effects are manifested in the gluon condensates that appear in the operator product expansion. We extract their temperature dependences from quenched lattice QCD calculations. It is found that the charmonium ground states of both S-wave and P-wave channels dissolve into the continuum already at temperatures around or slightly above the critical temperature T c , while the bottomonium states are less influenced by temperature effects, surviving up to about 2.5 T c or higher for S-wave and about 2.0 T c for P-wave states. Our results are consistent with recently observed LHC data, which suggest that the excited bottomonia dissociate at lower temperature than the ground state.

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“…There are studies on the ρ(1S, 2S) mesons [16,18,19], nucleons [15,20], η c (1S, 2S) mesons [2], ψ(1S, 2S) mesons [1,21] and Υ(1S, 2S) mesons [22]. In Gaussian Sum Rule is studied the mixed states of the glueballs and scalar mesons.…”

Section: Introductionmentioning

confidence: 99%

The ρ(1S, 2S), ψ(1S, 2S), Υ(1S, 2S) and ψ t (1S, 2S) Mesons in a Double Pole QCD Sum Rule

Sousa

Silva

2016

Braz J Phys

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We use the method of double pole QCD sum rule which is basically a fit with two exponentials of the correlation function, where we can extract the masses and decay constants of mesons as a function of the Borel mass. We apply this method to study the mesons: ρ(1S, 2S), ψ(1S, 2S), Υ(1S, 2S) and ψt(1S, 2S). We also present predictions for the toponiuns masses ψt(1S, 2S) of m(1S) = 357 GeV and m(2S) = 374 GeV.

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Charmonium Spectra at Finite Temperature from QCD Sum Rules with the Maximum Entropy Method

Cited by 73 publications

References 26 publications

Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method

Thermal modification of bottomonium spectra from QCD sum rules with the maximum entropy method

Thermal modication of bottomonium spectral functions from QCD sum rules

The ρ(1S, 2S), ψ(1S, 2S), Υ(1S, 2S) and ψ t (1S, 2S) Mesons in a Double Pole QCD Sum Rule

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