A microscopic description for polarization in particle scatterings

Abstract

We propose a microscopic description for the polarization from the first principle through the spin-orbit coupling in particle collisions. The model is different from previous ones based on local equilibrium assumptions for the spin degree of freedom. It is based on scatterings of particles as wave packets, an effective method to deal with particle scatterings at specified impact parameters. The polarization is then the consequence of particle collisions in a non-equilibrium state of spins. The spin-vorticity coupling naturally emerges from the spin-orbit one encoded in polarized scattering amplitudes of collisional integrals when one assumes local equilibrium in momentum but not in spin.

arXiv commentRevTex 4, 54 pages, 4 figures

References in corpus (58)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Hydrodynamics with Triangle Anomalies
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• New Developments in FeynCalc 9.0
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Fluid dynamics of R-charged black holes
• Globally Polarized Quark-gluon Plasma in Non-central A+A Collisions
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• Angular momentum conservation in heavy ion collisions at very high energy
• Hydrodynamics from charged black branes
• 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
• Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation
• Spin Alignment of Vector Mesons in Non-central A+A Collisions
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Rotating quark-gluon plasma in relativistic heavy ion collisions
• Relativistic fluid dynamics with spin
• Study of Lambda polarization in relativistic nuclear collisions at sqrt{s}_NN = 7.7-200 GeV
• Polarization probes of vorticity in heavy ion collisions
• 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
• Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
• Relativistic hydrodynamics for spin-polarized fluids
• Polarization of massive fermions in a vortical fluid
• Relativistic Chiral Kinetic Theory from Quantum Field Theories
• Probing vorticity structure in heavy-ion collisions by local $\Lambda$ polarization
• Global $\Lambda$ Polarization in high energy collisions
• Flow Vorticity in Peripheral High Energy Heavy Ion Collisions
• Lambda hyperon polarization in relativistic heavy ion collisions from the chiral kinetic approach
• Relativistic Quantum Kinetic Theory for Massive Fermions and Spin Effects
• Complete and Consistent Chiral Transport from Wigner Function Formalism
• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
• Spin-dependent distribution functions for relativistic hydrodynamics of spin-1/2 particles
• Quark Polarization in a Viscous Quark-Gluon Plasma
• Thermodynamic versus kinetic approach to polarization-vorticity coupling
• Relativistic Quantum Transport Theory for Electrodynamics
• Local spin polarization in high energy heavy ion collisions
• Helicity separation in Heavy-Ion Collisions
• Global and local polarization of $\Lambda$ hyperons in Au+Au collisions at 200 GeV from STAR
• A Possible Higher Order Correction to the chiral Vortical Conductivity in a Gauge Field Plasma
• Causality and dissipation in relativistic polarizeable fluids
• Disentangling covariant Wigner functions for chiral fermions
• Global and local spin polarization in heavy ion collisions: a brief overview
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Azimuthal angle dependence of the longitudinal spin polarization in relativistic heavy ion collisions
• Covariant chiral kinetic equation in Wigner function approach
• Polarized secondary particles in unpolarized high energy hadron-hadron collisions?
• Vorticity in heavy-ion collisions at the JINR Nuclotron-based Ion Collider fAcility
• The chiral vortical effect in Wigner function approach
• CHIRALLY INVARIANT TRANSPORT EQUATIONS FOR QUARK MATTER
• ZMCintegral: a Package for Multi-Dimensional Monte Carlo Integration on Multi-GPUs
• Kinetic Equation for Gluons in the Background Gauge of QCD
• Magnetic moment, vorticity-spin coupling and parity-odd conductivity of chiral fermions in 4-dimensional Wigner functions

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• Derivation of the nonlocal collision term in the relativistic Boltzmann equation for massive spin-1/2 particles from quantum field theory
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Spin tensor and pseudo-gauges: from nuclear collisions to gravitational physics
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• From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
• Effective quantum kinetic theory for spin transport of fermions with collsional effects
• Spin Polarizations in a Covariant Angular-Momentum-Conserved Chiral Transport Model
• Foundations and Applications of Quantum Kinetic Theory
• Improved quark coalescence model for spin alignment and polarization of hadrons
• Spin polarization dynamics in the Gubser-expanding background
• Spin and polarization: a new direction in relativistic heavy ion physics
• Analytic solutions of relativistic dissipative spin hydrodynamics with Bjorken expansion
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Relaxation Time for Strange Quark Spin in Rotating Quark-Gluon Plasma
• Vorticity and Spin Polarization in Heavy Ion Collisions: Transport Models
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Quantum Kinetic Theory for Quantum Electrodynamics
• Wigner functions and quantum kinetic theory of polarized photons
• Lorentz-covariant nonlocal collision term for spin-1/2 particles
• Hydrodynamic helicity polarization in relativistic heavy ion collisions
• Kinetic theory with spin: From massive to massless fermions
• Shear induced polarization: Collisional contributions
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields
• Towards a full solution of relativistic Boltzmann equation for quark-gluon matter on GPUs
• 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
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• Quantum Kinetic Theory with Vector and Axial Gauge Fields
• JefiGPU: Jefimenko's Equations on GPU
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Exploring Spin Polarization of Heavy Quarks in Magnetic Fields and Hot Medium
• Spin Boltzmann equation for non-relativistic spin-1/2 fermions
• In-medium Electromagnetic Form Factors and Spin Polarizations
• Quark polarization from parton scatterings in heavy ion collisions
• Practical considerations for the effect of finite coverage on the azimuthal dependence of global spin alignment
• A topological realization of spin polarization through vortex formation in collisions of Bose-Einstein condensates