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A hydrodynamic study of hyperon spin polarization in relativistic heavy ion collisions
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abstract
We perform a systematic study of the spin polarization of hyperons in heavy-ion collisions using the MUSIC hydrodynamic model with A Multi-Phase Transport (AMPT) pre-equilibrium dynamics. Our model calculations nicely describe the measured collision-energy, centrality, rapidity, and $p_T$ dependence of $\Lambda$ polarization. We also study and predict the global spin polarization of $\Xi^-$ and $\Omega^-$ as a function of collision energy, which provides a baseline for the studies of the magnetic moment, spin, and mass dependence of the spin polarization. For the local spin polarization, we calculate the radial and azimuthal components of the transverse $\Lambda$ polarization and find specific modulating behavior which could reflect the circular vortical structure. However, our model fails to describe the azimuthal-angle dependence of the longitudinal and transverse $\Lambda$ polarization, which indicates that the hydrodynamic framework with the spin Cooper-Frye formula under the assumption of thermal equilibrium of spin degree of freedom needs to be improved.
Forward citations
Cited by 6 Pith papers
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Local Spin Polarization in Anisotropic Gubser Flow: Suppression Mechanism and Formulation Dependence
In an anisotropic Gubser flow, the longitudinal spin polarization's sign depends on which shear formulation is used, and two popular formulations show exact or near-exact cancellation between vorticity and shear contr...
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Is the shear induced spin polarization non-dissipative?
Shear-induced spin polarization leaves the momentum-integrated entropy production rate unchanged in chiral kinetic theory, but Zubarev's linear response suggests a dissipative origin.
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Vector and Tensor Spin Polarization for Vector Bosons at Local Equilibrium
Vector meson spin alignment at local equilibrium is shown to arise only at second order in thermodynamic gradients, with explicit analytic formulas for the contributing terms.
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Spin alignment of vector mesons in local equilibrium by Zubarev's approach
The spin alignment rho00-1/3 vanishes at first order in gradients in local equilibrium, with nonzero contributions first appearing at second order, in a pseudo-gauge dependent way.
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Transverse and longitudinal spin alignment from color fields in heavy ion collisions
Spin alignment of phi mesons along the beam direction is predicted to exceed 1/3 for glasma fields and to show a sign-changing rapidity pattern for isotropic QGP color fields, offering a discriminating observable.
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An introduction to relativistic spin hydrodynamics
A review that derives the constitutive equations of relativistic spin hydrodynamics from thermodynamics and surveys challenges like pseudo-gauge ambiguity and spin freeze-out.
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