Holographic model for charmonium dissociation

Abstract

We present a holographic bottom up model for the thermal behavior of $c\bar{c}$ vector mesons in a finite temperature and density plasma. There is a clear physical interpretation for the three imput energy parameters of the model. Two of them are related to the mass spectrum of the heavy meson. Namely the quark mass and the string tension of the quark anti-quark interaction. The third parameter is a large energy scale associated with the non-hadronic meson decay. In such a process the heavy meson is transformed into a much lighter state by electroweak processes. The corresponding transition amplitude is assumed to depend on the enegy scale associated with this large mass variation. With this three parameter model one can fit the masses and decay constants of $J/\Psi$ and three radial excitations with an rms error of 20.7 %. Using the geometry of a charged black hole, one finds the spectral function for charmonium states inside a plasma at finite temperature and density. The charmonium dissociation in the medium is represented by the decrease in the height of the spectral function peaks.

arXiv commentRevision in V2: one paragraph with a remark included at the end of the text. Typos corrected. To appear in Physics Letters B. 13 pages, 2 tables, 3 figures

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• Holographic estimate of heavy quark diffusion in a magnetic field
• Configuration Entropy for Quarkonium in a Finite Density Plasma
• Configuration entropy description of charmonium dissociation under the influence of magnetic fields
• Non-linear Regge trajectories with AdS/QCD
• Quasinormal modes for quarkonium in a plasma with magnetic fields
• Heavy quarkonia spectroscopy at zero and finite temperature in bottom-up AdS/QCD
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• Baryons in a soft-wall AdS-Schwarzschild approach at low temperature
• Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography
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• Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields
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• Quasi normal modes for Heavy Vector Mesons in a Finite Density Plasma
• Vector meson spectral function in a dynamical AdS/QCD model
• Proper static potential in classical lattice gauge theory at finite T
• Light Pseudoscalar and Axial Spectroscopy using AdS/QCD Modified Soft Wall Model
• Holographic vector meson melting in a thermal gravity-dilaton background related to QCD
• Rotation effect on the spectral function of heavy vector mesons in holographic QCD
• Quasinormal modes and dispersion relations for quarkonium in a plasma
• Temperature dependence of $\rho$ meson-nucleon coupling constant from the AdS/QCD soft-wall model
• Isospectrality and configurational entropy as testing tools for bottom-up AdS/QCD
• Meson Potential Energy in a Non-Conformal Holographic Model
• Heavy quarkonium spectral function in the spinning black hole background
• Probing AdS/QCD backgrounds with semi-classical strings
• Holographic quark masses and radiative decays of heavy vector mesons
• Holography and the internal structure of charmonium
• Quarkonia formation in a holographic gravity-dilaton background describing QCD thermodynamics
• Confining potential in holographic bottom-up QCD from WKB
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• Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density