A (1+1+2)D spin hydrodynamics model with longitudinal spin acceleration and transverse expansion reproduces the quadrupole pattern in longitudinal Lambda polarization and matches Au+Au data at 200 GeV while predicting in-plane transverse polarization.
Global Λ polarization in high energy collisions
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abstract
With a Yang-Mills flux-tube initial state and a high resolution (3+1)D Particle-in-Cell Relativistic (PICR) hydrodynamics simulation, we calculate the $\Lambda$ polarization for different energies. The origination of polarization in high energy collisions is discussed, and we find linear impact parameter dependence of the global $\Lambda$ polarization. Furthermore, the global $\Lambda$ polarization in our model decreases very fast in the low energy domain, and the decline curve fits well the recent results of Beam Energy Scan (BES) program launched by the STAR collaboration at the Relativistic Heavy Ion Collider (RHIC). The time evolution of polarization is also discussed.
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Exact calculations in a boost-invariant free Dirac fermion fluid show spin polarization arises only from finite spin potential, with shear-induced polarization and spin Hall effect absent.
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.
citing papers explorer
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Modeling $\Lambda$ polarization in Au$+$Au collisions at $\sqrt{s_{\rm NN}}=200$ GeV using relativistic spin hydrodynamics
A (1+1+2)D spin hydrodynamics model with longitudinal spin acceleration and transverse expansion reproduces the quadrupole pattern in longitudinal Lambda polarization and matches Au+Au data at 200 GeV while predicting in-plane transverse polarization.
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Exact expectation values in a boost-invariant fluid of Dirac fermions with finite spin density
Exact calculations in a boost-invariant free Dirac fermion fluid show spin polarization arises only from finite spin potential, with shear-induced polarization and spin Hall effect absent.
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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.