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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Online-Zugang: | https://arxiv.org/abs/2503.09937 |
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| _version_ | 1866915195430895616 |
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| author | Yin, Yi-Liang Dong, Wen-Bo Yi, Cong Wang, Qun |
| author_facet | Yin, Yi-Liang Dong, Wen-Bo Yi, Cong Wang, Qun |
| contents | We calculate the spin density matrix for neutral $ρ$ mesons from the spectral function and thermal shear tensor by Kubo formula in the linear response theory, which contributes to the $γ$ correlator for the CME search. We derive the spectral function of neutral $ρ$ mesons with $ρππ$ and $ρρππ$ interactions using the Dyson-Schwinger equation. The thermal shear tensor contribution is obtained from the Kubo formula in the linear response theory. We numerically calculate $ρ_{00}-1/3$ and $\mathrm{Re}ρ_{-1,1}$ using the simulation results for the thermal shear tensor by the hydrodynamical model, which are of the order $10^{-3}\sim10^{-2}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09937 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spin density matrix for neutral $ρ$ mesons in a pion gas in linear response theory Yin, Yi-Liang Dong, Wen-Bo Yi, Cong Wang, Qun High Energy Physics - Phenomenology We calculate the spin density matrix for neutral $ρ$ mesons from the spectral function and thermal shear tensor by Kubo formula in the linear response theory, which contributes to the $γ$ correlator for the CME search. We derive the spectral function of neutral $ρ$ mesons with $ρππ$ and $ρρππ$ interactions using the Dyson-Schwinger equation. The thermal shear tensor contribution is obtained from the Kubo formula in the linear response theory. We numerically calculate $ρ_{00}-1/3$ and $\mathrm{Re}ρ_{-1,1}$ using the simulation results for the thermal shear tensor by the hydrodynamical model, which are of the order $10^{-3}\sim10^{-2}$. |
| title | Spin density matrix for neutral $ρ$ mesons in a pion gas in linear response theory |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.09937 |