Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions

Abstract

The equations of perfect spin hydrodynamics are solved for the first time using a realistic (3+1)-dimensional hydrodynamic background, calibrated to reproduce a comprehensive set of hadronic observables, including rapidity distributions, transverse momentum spectra, and elliptic flow coefficients for Au+Au collisions at the beam energy of $\sqrt{s_{\mathrm{NN}}}=200$ GeV. The spin dynamics is governed by the conservation of the spin tensor, describing spin-$\frac{1}{2}$ particles, with particle mass in the spin tensor treated as an effective parameter. We investigate several scenarios, varying both the effective mass and the initial evolution time for the spin polarization tensor. The model predictions are then compared with experimental measurements of global and longitudinal spin polarization of Lambda hyperons. Our results indicate that a successful description of the data requires a delayed initial evolution time for the perfect spin hydrodynamics of about 4 fm/$c$ (in contrast to the standard initial time of 1 fm/$c$ used for the hydrodynamic background). This delay marks a transition from the phase where spin-orbit interaction is significant to the regime where spin-conserving processes dominate. Our findings suggest that the spin-orbit dissipative interaction plays a significant role only in the very early stages of the system's evolution.

19 pages, 13 figures

References in corpus (88)

• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Transverse momentum and collision energy dependence of high $p_T$ hadron suppression in Au+Au collisions at ultrarelativistic energies
• Azimuthal anisotropy in Au+Au collisions at sqrtsNN = 200 GeV
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• Relativistic distribution function for particles with spin at local thermodynamical equilibrium
• Global polarization of $\Lambda$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Pseudorapidity distributions of charged particles from Au+Au collisions at the maximum RHIC energy, Sqrt(s_NN) = 200 GeV
• Relativistic fluid dynamics with spin
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• Polarization of $\Lambda$ ($\bar{\Lambda }$) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Collective dynamics of the high-energy proton-nucleus collisions
• A study of vorticity formation in high energy nuclear collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• A 3+1 dimensional viscous hydrodynamic code for relativistic heavy ion collisions
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Particlization in hybrid models
• Shear-induced spin polarization in heavy-ion collisions
• Lambda Polarization in Peripheral Heavy Ion Collisions
• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
• Local polarization and isothermal local equilibrium in relativistic heavy ion collisions
• Transport Coefficients of Bulk Viscous Pressure in the 14-moment approximation
• Evidence of spin-orbital angular momentum interactions in relativistic heavy-ion collisions
• Estimation of the shear viscosity at finite net-baryon density from A+A collision data at $\sqrt{s_{\mathrm{NN}}}=7.7-200$ GeV
• Generating spin polarization from vorticity through nonlocal collisions
• Spin-thermal shear coupling in a relativistic fluid
• Net baryon diffusion in fluid dynamic simulations of relativistic heavy-ion collisions
• Relativistic dissipative spin dynamics in the relaxation time approximation
• Spin Hydrodynamics and Symmetric Energy-Momentum Tensors -- A current induced by the spin vorticity --
• Spin tensor and its role in non-equilibrium thermodynamics
• Equation of state at finite densities for QCD matter in nuclear collisions
• Hydrodynamics of spin currents
• Spin polarization induced by the hydrodynamic gradients
• Global polarization of $\Lambda$ and $\overline{\Lambda }$ hyperons in Pb-Pb collisions at the LHC
• From Chiral Kinetic Theory To Relativistic Viscous Spin Hydrodynamics
• Non-dissipative second-order transport, spin, and pseudo-gauge transformations in hydrodynamics
• The ideal relativistic fluid limit for a medium with polarization
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• A collision geometry-based 3D initial condition for relativistic heavy-ion collisions
• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Dissipative Spin Dynamics in Relativistic Matter
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• The ideal relativistic rotating gas as a perfect fluid with spin
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Local spin polarization in high energy heavy ion collisions
• On the relative importance of second-order terms in relativistic dissipative fluid dynamics
• Spin polarization evolution in a boost invariant hydrodynamical background
• Linear response theory of relativistic hydrodynamics with spin
• Causality and dissipation in relativistic polarizeable fluids
• Relativistic Spin Magnetohydrodynamics
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Relativistic Viscous Hydrodynamics with Angular Momentum
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Particle production in a hybrid approach for a beam energy scan of Au+Au/Pb+Pb collisions between $\sqrt{s_{\mathrm{NN}}}$ = 4.3 GeV and $\sqrt{s_{\mathrm{NN}}}$ = 200.0 GeV
• Relativistic first-order spin hydrodynamics via the Chapman-Enskog expansion
• Hydrodynamics, spin currents and torsion
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Canonical and phenomenological formulations of spin hydrodynamics
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Pseudogauge dependence of the spin polarization and of the axial vortical effect
• Lambda hyperon production and polarization in collisions of p(3.5 GeV) + Nb
• Polarization phenomenon in heavy-ion collisions
• Stability studies of first order spin-hydrodynamic frameworks
• Spin polarization dynamics in the non-boost-invariant background
• The causality and stability of relativistic spin-hydrodynamics
• 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
• Damping of spin waves
• Spin alignment of vector mesons by second-order hydrodynamic gradients
• Relativistic hydrodynamics with spin in the presence of electromagnetic fields
• Hybrid approach to perfect and dissipative spin hydrodynamics
• Boost invariant spin hydrodynamics within the first order in derivative expansion
• Initial conditions from the shadowed Glauber model
• Resummed spin hydrodynamics from quantum kinetic theory
• Linear response hydrodynamics of a relativistic dissipative fluid with spin
• Suppression of thermal vorticity as an indicator of QCD critical point
• Dynamical constraints on pseudo-gauge transformations
• Polarization of spin-1/2 particles with effective spacetime dependent masses
• Wigner function approach to polarization-vorticity coupling and hydrodynamics with spin
• Kinetic approach to polarization-vorticity coupling and hydrodynamics with spin
• Lambda transverse polarization in NA61\SHINE at the CERN SPS: feasibility studies

Cited by in corpus (12)

• An introduction to relativistic spin hydrodynamics
• Boost-invariant spin hydrodynamics with spin feedback effects
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Spin hydrodynamics -- recent developments
• Application range of perfect spin hydrodynamics
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Semi-Classical Spin Hydrodynamics in Flat and Curved Spacetime: Covariance, Linear Waves, and Bjorken Background
• Hybrid framework of Fermi-Dirac spin hydrodynamics
• Short Note on Spin Magnetization in QGP
• Perfect spinfluid: A divergence-type approach
• Minimal-Length Corrections to Hyperon Polarization in Rotating Quark Gluon Plasma
• Guiding center hydrodynamics with spin