Bottomonium dissociation in a finite density plasma

Abstract

We present a holographic description of the thermal behavior of $b\bar{b}$ heavy vector mesons inside a plasma at finite temperature and density. The meson dissociation in the medium is represented by the decrease in the height of the spectral function peaks. In order to find a description for the evolution of the quasi-states with temperature and chemical potential it is crucial to use a model that is consistent with the decay constant behavior. The reason is that the height of a spectral function peak is related to the value of the zero temperature decay constant of the corresponding particle. AdS/QCD holographic models are in general not consistent with the observation that decay constants of heavy vector mesons decrease with radial excitation level. However, it was recently shown that using a soft wall background and calculating the correlation functions at a finite position of anti-de Sitter space, associated with an ultraviolet energy scale, it is possible to describe the observed behavior. Here we extend this proposal to the case of finite temperature $T$ and chemical potential $\mu$. A clear picture of the dissociation of bottomonium states as a function of $\mu$ and $T$ emerges from the spectral function. The energy scales where the change in chemical potential leads to changes in the thermal properties of the mesons is consistent with QCD expectations.

In V3: errors in reference citations corrected. Version published in Physics Letters B. 15 pages, 3 figures

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Cited by in corpus (21)

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• Non-linear Regge trajectories with AdS/QCD
• Quasinormal modes for quarkonium in a plasma with magnetic fields
• Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model
• Information in AdS/QCD: mass spectroscopy of isovector mesons
• Melting of heavy vector mesons and quasinormal modes in a finite density plasma from holography
• Running coupling constant at finite chemical potential and magnetic field from holography
• Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields
• Quasi normal modes for Heavy Vector Mesons in a Finite Density Plasma
• Configurational entropy of heavy-quark QCD exotica: engendering the next generation
• Holographic vector meson melting in a thermal gravity-dilaton background related to QCD
• Hawking-Page transition in holographic QCD at finite density
• Quasinormal modes and dispersion relations for quarkonium in a plasma
• Heavy quarkonium spectral function in the spinning black hole background
• Probing AdS/QCD backgrounds with semi-classical strings
• Holography and the internal structure of charmonium
• Holographic bottomonium formation in a cooling strong-interaction medium at finite baryon density