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<p>We calculate the spin density matrix for neutral <i>ρ</i> mesons from the spectral function and thermal shear tensor by Kubo formula in the linear response theory, which contributes to the <i>γ</i> correlator for the CME search. We derive the spectral function of neutral <i>ρ</i> mesons with <i>ρππ</i> and <i>ρρππ</i> 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 <i>ρ</i><sub>00</sub>–1/3 and Re<sub><i>ρ</i>−1,1</sub> using the simulation results for the thermal shear tensor by the hydrodynamical model, which are of the order 10<sup>−3</sup>–10<sup>−2</sup>.</p>

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Spin density matrix for neutral ρ mesons in a pion gas in linear response theory

  • 期刊论文

  • 发表日期：

    2026年3月27日

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  • Yi-Liang Yin,
  • Wen-Bo Dong,
  • Cong Yi,
  • Qun Wang

摘要

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 ρ00–1/3 and Reρ−1,1 using the simulation results for the thermal shear tensor by the hydrodynamical model, which are of the order 10−3–10−2.