Polarization of spin-1/2 particles with effective spacetime dependent masses

Abstract

Semiclassical expansion of the Wigner function for spin-1/2 fermions having an effective spacetime-dependent mass is used to analyze spin-polarization effects. The existing framework is reformulated to obtain a differential equation directly connecting the particle spin tensor with the effective mass. It reflects the conservation of the total angular momentum in a system. In general, we find that the gradients of mass act as a source of the spin polarization. Although this effect is absent for simple boost-invariant dynamics, an extension to non-boost-invariant systems displays a non-trivial dependence of the spin density on the mass indicating that the spin polarization effects may be intertwined with the phenomenon of chiral restoration.

5 pages, 2 figures, matches with the published version Phys. Lett. B 849 (2024) 138464

References in corpus (11)

• Fate of spin polarization in a relativistic fluid: An entropy-current analysis
• Global polarization of $\Xi$ and $\Omega$ hyperons in Au+Au collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV
• Relativistic second-order dissipative spin hydrodynamics from the method of moments
• Spin polarization evolution in a boost invariant hydrodynamical background
• Relativistic Spin Magnetohydrodynamics
• Relativistic dissipative spin hydrodynamics from kinetic theory with a nonlocal collision term
• Relativistic second-order spin hydrodynamics: an entropy-current analysis
• Gyrohydrodynamics: Relativistic spinful fluid with strong vorticity
• Quasiparticle second-order viscous hydrodynamics from kinetic theory
• Pseudo-gauges and relativistic spin hydrodynamics for interacting Dirac and Proca fields
• Pseudogauge freedom and the SO(3) algebra of spin operators

Cited by in corpus (4)

• Resummed spin hydrodynamics from quantum kinetic theory
• Spin dynamics with realistic hydrodynamic background for relativistic heavy-ion collisions
• Spin Polarization of $\Lambda$ hyperons from Dissipative Spin Hydrodynamics
• Second-order spin hydrodynamics from Zubarev's nonequilibrium statistical operator formalism