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arXiv 2302.09889hep-ph
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Isospin symmetry of $ω$ meson in the soft-wall model of holographic QCD at finite temperature

Narmin Nasibova

英文摘要:

Coupling constants of $ρ$- and $ω$- meson-nucleon are related with each other by isospin relation. In present work, it is aimed at studying the violation (if it exists) of isospin symmetry of the $ω$-meson and to study the temperature dependence of $ω$-meson-nucleon-delta and $ω$-meson-delta coupling constants using the soft-wall model of holographic QCD. Firstly, the coupling constants are obtained by applying the profile functions of the vector and fermion fields to the model at a finite temperature. The interaction Lagrangian is written, including the minimum and magnetic interactions of vector and fermion fields which is defined in the bulk of the 5-dimensional AdS space-time. Secondly, the temperature dependence of the coupling constants $g_{ωN N}(T)$, $g_{ωΔΔ}(T)$ and $g_{ωN Δ}(T)$ has been plotted. Comparing $g_{ωN N}(T)$ with the coupling constant $g_{ρNN}(T)$, it obtained that the isospin symmetry of the omega meson is not violated at the finite temperature. It is also observed that the coupling constants of the $ω$ vector meson with baryons decreases with increasing temperature, and this coupling constant becomes zero near the Hawking phase transition temperature.

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