# Bottomonium dissociation in a finite density plasma

## TL;DR

This paper uses a holographic model to study how bottomonium mesons dissociate in a plasma at finite temperature and density, revealing how spectral functions change with these parameters and aligning with QCD expectations.

## Contribution

It extends a soft wall holographic model to finite temperature and chemical potential, accurately describing bottomonium dissociation and decay constant behavior in a dense plasma.

## Key findings

- Spectral function peaks decrease with increasing temperature and chemical potential.
- The model's predictions align with QCD expectations for meson dissociation.
- The approach provides a clear picture of bottomonium behavior in hot and dense media.

## 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.