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Autori principali: Zhang, Le, Cai, Fei-Yang, Chen, Xun
Natura: Preprint
Pubblicazione: 2024
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Accesso online:https://arxiv.org/abs/2410.05691
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author Zhang, Le
Cai, Fei-Yang
Chen, Xun
author_facet Zhang, Le
Cai, Fei-Yang
Chen, Xun
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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_05691
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Exotic hybrid pseudopotentials at finite temperature and chemical potential
Zhang, Le
Cai, Fei-Yang
Chen, Xun
High Energy Physics - Phenomenology
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.
title Exotic hybrid pseudopotentials at finite temperature and chemical potential
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2410.05691