Global quark polarization in non-central $A+A$ collisions

Abstract

Partons produced in the early stage of non-central heavy-ion collisions can develop a longitudinal fluid shear because of unequal local number densities of participant target and projectile nucleons. Under such fluid shear, local parton pairs with non-vanishing impact parameter have finite local relative orbital angular momentum along the direction opposite to the reaction plane. Such finite relative orbital angular momentum among locally interacting quark pairs can lead to global quark polarization along the same direction due to spin-orbital coupling. Local longitudinal fluid shear is estimated within both Landau fireball and Bjorken scaling model of initial parton production. Quark polarization through quark-quark scatterings with the exchange of a thermal gluon is calculated beyond small-angle scattering approximation in a quark-gluon plasma. The polarization is shown to have a non-monotonic dependence on the local relative orbital angular momentum dictated by the interplay between electric and magnetic interaction. It peaks at a value of relative orbital angular momentum which scales with the magnetic mass of the exchanged gluons. With the estimated small longitudinal fluid shear in semi-peripheral $Au+Au$ collisions at the RHIC energy, the final quark polarization is found to be small $|P_q|<0.04$ in the weak coupling limit. Possible behavior of the quark polarization in the strong coupling limit and implications on the experimental detection of such global quark polarization at RHIC and LHC are also discussed.

28 pages,11 figures

References in corpus (22)

• New Forms of QCD Matter Discovered at RHIC
• Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• pQCD-based Approach to Parton Production and Equilibration in High-Energy Nuclear Collisions
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• Matter in extremis: ultrarelativistic nuclear collisions at RHIC
• Polarization probes of vorticity in heavy ion collisions
• Global polarization measurement in Au+Au collisions
• Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
• Gluon Shadowing and Hadron Production at RHIC
• Open Charm Production in an Equilibrating Parton Plasma
• From Entropy and Jet Quenching to Deconfinement?
• 3D Jet Tomography of Twisted Strongly Coupled Quark Gluon Plasmas
• Pseudorapidity Distributions of Charged Particles in d + Au and p + p Collisions at $\sqrt{s_{{}_{NN}}}$ = 200GeV
• Magnetic Screening in Thermal Yang-Mills Theories
• 3D Jet Tomography of the Twisted Color Glass Condensate
• Dynamical Screening and Radiative Parton Energy Loss in a Quark-gluon Plasma
• Thermal Equilibration in an Expanding Parton Plasma
• Global polarization measurement in Au+Au collisions
• Acceptance effects in the hyperons global polarization measurement
• Centrality dependence of hyperon global polarization in Au+Au collisions at RHIC

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