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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.05691 |
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Table of Contents:
- Using gauge/gravity duality, we study the exotic hybrid pseudopotentials at finite temperature and chemical potential. The $Σ$ hybrid meson can be described by a model including an object called ``defect'' on a string linking the quark and antiquark. It was first proposed by Andreev and perfectly described the $Σ_u^-$ hybrid potential at zero temperature and chemical potential. In this paper, we would like to extend this model to finite chemical potential and compare the separate distance and pseudopotentials of $Σ_g^+ $ and $Σ_u^-$. Unlike $Σ_g^+$ ground state, the $Σ_u^-$ hybrid pseudopotentials no longer behave as Coulomb-like at short distances. In addition, temperature and chemical potential have a significant impact on the $Σ_u^-$ hybrid pseudopotentials. The screen distances and hybrid pseudopotentials of $Σ_u^-$ significantly decrease with the increase of temperature and chemical potential. At last, we draw the melting diagram of $Σ_g^+ $ and $Σ_u^-$ in the $T- μ$ plane, and confirm that the quark-antiquark pair in $Σ_u^-$ excited state is easier to melt than in $Σ_g^+$ ground state.