Effect of thermal shear on longitudinal spin polarization in a thermal model

Abstract

By including the recently introduced thermal shear term that contributes to the spin polarization vector at local equilibrium, we determine longitudinal polarization of $\Lambda$ hyperons emitted from a hot and rotating hadronic medium using the thermal model with single freeze-out. In our analysis, we consider the RHIC top energies and use the model parameters which were determined in the earlier analyses of particle spectra and elliptic flow. We confirm that, unlike the previous calculations done by using only the thermal vorticity, the thermal shear term alone leads to the correct sign of the quadrupole structure of the longitudinal component of the polarization three-vector measured in experiments. However, we find almost complete cancellation between thermal shear and vorticity terms, which eventually leads to disagreement with the data. To clarify the role played by velocity and temperature gradient terms, we present a systematic analysis of different contributions to the longitudinal polarization.

11 pages, 18 figures

References in corpus (2)

• Collective longitudinal polarization in relativistic heavy-ion collisions at very high energy
• Global $\Lambda$ Polarization in high energy collisions

Cited by in corpus (6)

• Foundations and Applications of Quantum Kinetic Theory
• Local and global polarization of $\Lambda$ hyperons across RHIC-BES energies: the roles of spin hall effect, initial condition and baryon diffusion
• Quantum kinetic theory for dynamical spin polarization from QED-type interaction
• Spin polarization and correlation of quarks from glasma
• Dilepton Helical Production in a Vortical Quark-Gluon Plasma
• Polarization in heavy ion collisions: a theoretical review