Hydrodynamic calculations show Omega hyperon polarization exceeds that of Lambda and Xi due to spin but falls below STAR data, with particle-antiparticle splitting growing at lower energies and driven by chemical potential gradient.
The ideal relativistic spinning gas: polarization and spectra
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abstract
We study the physics of the ideal relativistic rotating gas at thermodynamical equilibrium and provide analytical expressions of the momentum spectra and polarization vector for the case of massive particles with spin 1/2 and 1. We show that the finite angular momentum J entails an anisotropy in momentum spectra, with particles emitted orthogonally to J having, on average, a larger momentum than along its direction. Unlike in the non-relativistic case, the proper polarization vector turns out not to be aligned with the total angular momentum with a non-trivial momentum dependence.
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The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.
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Global polarization of $\Lambda$, $\Xi^{-}$, and $\Omega^{-}$ hyperons in Au+Au collisions at RHIC BES-II energies
Hydrodynamic calculations show Omega hyperon polarization exceeds that of Lambda and Xi due to spin but falls below STAR data, with particle-antiparticle splitting growing at lower energies and driven by chemical potential gradient.
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Spin dynamics and polarization in relativistic systems: recent developments
The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.