Spin polarization dynamics in the non-boost-invariant background

Abstract

Space-time evolution of spin polarization within the framework of hydrodynamics with spin based on de Groot - van Leeuwen - van Weert forms of energy-momentum and spin tensors is studied. Due to the non-boost invariant flow in the system the spin polarization components couple to each other implying some effects on the spin polarization observables. We study transverse-momentum and rapidity dependence of mean spin polarization vector for $\Lambda$ hyperons. Our results show qualitative agreement for rapidity dependence of the global spin polarization with the experiments and other models. The quadrupole structure of the longitudinal component at midrapidity is not found, however, as compared to the results for Bjorken expansion, some non-trivial signal at forward rapidities is observed.

18 pages; 8 captioned figures; Comments are welcome; Matches with the published version: Phys. Rev. D 105, 054007 (2022)

References in corpus (33)

• Angular momentum conservation in heavy ion collisions at very high energy
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Shear-induced spin polarization in heavy-ion collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Spin-thermal shear coupling in a relativistic fluid
• Global $\Lambda$ Polarization in high energy collisions
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Hydrodynamics of spin currents
• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Spin polarization induced by the hydrodynamic gradients
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Reexamination of local spin polarization beyond global equilibrium in relativistic heavy ion collisions
• Spin polarization evolution in a boost invariant hydrodynamical background
• The smallest fluid on earth
• Ideal spin hydrodynamics from Wigner function approach
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Spin polarization dynamics in the Gubser-expanding background
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Local Equilibrium Spin Distribution From Detailed Balance
• Lambda hyperon production and polarization in collisions of p(3.5 GeV) + Nb
• New Developments in Relativistic Fluid Dynamics with spin
• Global polarization effect and spin-orbit coupling in strong interaction
• Hyperon--anti-hyperon polarization asymmetry in relativistic heavy-ion collisions as an interplay between chiral and helical vortical effects
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Strongly Interacting Matter Under Rotation: An Introduction
• Relativistic quantum fluid with boost invariance
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Helicity polarization in relativistic heavy ion collisions

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• Relativistic second-order dissipative spin hydrodynamics from the method of moments
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• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Spin waves in spin hydrodynamics
• Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• On the non-uniqueness of the energy-momentum and spin currents
• Dissipative effects on the propagation of spin modes
• Guiding center hydrodynamics with spin
• Perfect spinfluid: A divergence-type approach
• On the local thermodynamic relations in relativistic spin hydrodynamics
• Theoretical aspects of relativistic spin hydrodynamics coupled with electromagnetic fields
• Impact of spin polarization on transport and thermodynamic coefficients
• Study of spin polarization dependence on rapidity, transverse momentum, and azimuthal angle