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

2025/03/13 by Yi-Liang Yin, Wen-Bo Dong, Yin, Yi-Liang +5
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2503.09937

Abstract

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.

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