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Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
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We study local spin polarization in the relativistic hydrodynamic model. Generalizing the Wigner functions previously obtained from chiral kinetic theory by Y. Hidaka et al. [Phys. Rev. D 97, 016004 (2018)] to the massive case, we present the possible contributions up to the order of $\hbar$ from thermal vorticity, shear viscous tensor, other terms associated with the temperature and chemical-potential gradients, and electromagnetic fields to the local spin polarization. We then implement the (3+1)-dimensional viscous hydrodynamic model to study the spin polarizations from these sources with a small chemical potential and ignorance of electromagnetic fields by adopting an equation of state different from those in other recent studies. Although the shear correction alone upon the local polarization results in a sign and azimuthal-angle dependence more consistent with experimental observations, as also discovered in other recent studies, it is mostly suppressed by the contributions from thermal vorticity and other terms that yield an opposite trend. It is found that the total local spin polarization can be very sensitive to the equation of states, the ratio of shear viscosity to entropy density, and the freeze-out temperature.
Forward citations
Cited by 6 Pith papers
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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 relativistic spin hydrodynamics model with transverse expansion and longitudinal spin acceleration reproduces the observed quadrupole pattern in longitudinal Lambda polarization for Au+Au collisions at 200 GeV.
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Vector-Meson Spin Alignment from Anisotropic Quark or Hadron Coalescence
Anisotropic quark or hadron coalescence in heavy-ion collisions generates vector-meson spin alignment whose sign distinguishes bare-vector from spin-orbit-coupled production vertices.
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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...
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Boost-invariant and cylindrically symmetric perfect spin hydrodynamics
In boost-invariant cylindrical spin hydrodynamics, azimuthal-longitudinal coupling in the spin tensor produces nonzero total polarization only via the longitudinal magnetic component coupled to the azimuthal electric ...
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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 pote...
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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.
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