Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions

Abstract

The azimuthal angle dependence of quark spin polarization in the longitudinal beam direction of non-central relativistic heavy ion collisions is studied in the chiral kinetic approach. Contrary to the prediction from models based on the assumption of thermal equilibrium of spin degrees of freedom that the quark spin polarization always points along the direction of local vorticity field, we find the two can have opposite directions due to the effect from the transversal component of vorticity field, which can lead to a redistribution of axial charges in the produced matter. Our finding is consistent with the azimuthal angle dependence of the longitudinal spin polarization of $\Lambda$ hyperons, which is mainly determined by that of the strange quark, recently measured in the experiments by the STAR Collaboration at the Relativistic Heavy Ion Collider (RHIC).

arXiv comment5 pages, 5 figures

References in corpus (27)

• A Multi-Phase Transport Model for Relativistic Heavy Ion Collisions
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Gravitational Anomaly and Transport
• Angular momentum conservation in heavy ion collisions at very high energy
• 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
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Rotating quark-gluon plasma in relativistic heavy ion collisions
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• Vorticity in Heavy-Ion Collisions
• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global $\Lambda$ polarization in heavy-ion collisions from a transport model
• Global quark polarization in non-central $A+A$ collisions
• Vortical fluid and $\Lambda$ spin correlations in high-energy heavy-ion collisions
• Polarization of massive fermions in a vortical fluid
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• The ideal relativistic spinning gas: polarization and spectra
• A quark coalescence model for polarized vector mesons and baryons
• Hyperon polarization in Heavy-Ion Collisions and gravity-related anomaly
• Kinetic equations for massive Dirac fermions in electromagnetic field with non-Abelian Berry phase
• Covariant chiral kinetic equation in Wigner function approach
• $\Lambda$ polarization in peripheral collisions at moderate relativistic energies
• Vorticity and hyperon polarization at NICA energies
• Study of chiral vortical and magnetic effects in the anomalous transport model
• Probing the topological charge in QCD matter via multiplicity up-down asymmetry

Cited by in corpus (46)

• Polarization of $\Lambda$ ($\bar{\Lambda }$) hyperons along the beam direction in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Shear-induced spin polarization in heavy-ion collisions
• Generating spin polarization from vorticity through nonlocal collisions
• Spin-thermal shear coupling in a relativistic fluid
• Anomalous chiral transports and spin polarization in 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
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Local spin polarization in high energy heavy ion collisions
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
• Spin polarization evolution in a boost invariant hydrodynamical background
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• Vorticity in low-energy heavy-ion collisions
• Covariant Spin Kinetic Theory I: Collisionless Limit
• Longitudinal spin polarization in a thermal model
• Feed-down effect on $\Lambda$ spin polarization
• Foundations and Applications of Quantum Kinetic Theory
• Spin polarization dynamics in the Gubser-expanding background
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• A microscopic description for polarization in particle scatterings
• Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models
• Vorticity and Spin Polarization --- A Theoretical Perspective
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Polarization phenomenon in heavy-ion collisions
• Spin polarization dynamics in the non-boost-invariant background
• Causality and stability in relativistic viscous non-resistive magneto-fluid dynamics
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Chirality Production with Mass Effects-Schwinger Pair Production and the Axial Ward Identity
• Evolution of $\Lambda$ polarization in the hadronic phase of heavy-ion collisions
• Spin polarization dynamics in the Bjorken-expanding resistive MHD background
• Lorentz-covariant kinetic theory for massive spin-1/2 particles
• Local Spin Polarization in 200 GeV Au+Au and 2.76 TeV Pb+Pb Collisions
• Hyperon polarization and its relation with directed flow in high-energy nuclear collisions
• Berry phase in the phase space worldline representation: the axial anomaly and classical kinetic theory
• Nucleon spin polarization in intermediate-energy heavy-ion collisions
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Signatures of the vortical quark-gluon plasma in hadron yields
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Covariant Chiral Kinetic Equation in Non-Abelian Gauge field from "covariant gradient expansion"
• Estimating Longitudinal Polarization of $\Lambda$ and $\bar{\Lambda }$ Hyperons at Relativistic Energies using Hydrodynamic and Transport models
• Local spin polarizations in relativistic heavy ion collisions
• Hydrodynamics with spin --- recent developments
• Hydrodynamics of massive particles with spin 1/2
• Helicity polarization in relativistic heavy ion collisions
• Study of spin polarization dependence on rapidity, transverse momentum, and azimuthal angle