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arXiv · 1704.05038

Bottomonium dissociation in a finite density plasma

Nelson R. F. Braga·Luiz F. Ferreira
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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 $μ$. A clear picture of the dissociation of bottomonium states as a function of $ μ$ 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.

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Nelson R. F. Braga, Luiz F. Ferreira. 2017-10-06. Bottomonium dissociation in a finite density plasma. https://doi.org/10.1016/j.physletb.2017.08.037

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