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Spin relaxation rate for baryons in thermal pion gas

2023/12/13 by Hidaka, Yoshimasa, Hongo, Masaru, Stephanov, Mikhail +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2312.08266

Abstract

We study the relaxation dynamics of the spin polarization of baryons (nucleon and Λ-baryon), in a thermal pion gas as a simple model of the hadronic phase of the QCD plasma produced in relativistic heavy-ion collisions. For this purpose, we formulate the quantum kinetic theory for the spin density matrix of baryons in the leading order of the gradient expansion. Considering the baryon-pion elastic scattering processes as the dominant interaction between baryons and thermal pions, we compute the spin relaxation rate of nucleons and Λ-baryons in a pion gas up to temperature 200 MeV. In the case of nucleons, we evaluate the spin relaxation rate in the s-channel resonance approximation, based on the known experimental data on Δ-resonances. We also estimate the spin relaxation rate for Λ-baryons, based on experimental inputs and theoretical models for the low-energy Λπ scattering, including the chiral perturbation theory.

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