Global $\Lambda$ polarization in moderately relativistic nuclear collisions

TL;DR

This paper predicts the behavior of $ ext{Lambda}$ hyperon polarization in relativistic nuclear collisions using a thermodynamic three-fluid dynamics model, highlighting energy and centrality dependence.

Contribution

It introduces a thermodynamic approach within three-fluid dynamics to predict $ ext{Lambda}$ polarization across a range of collision energies.

Findings

Polarization peaks or plateaus around 3 GeV collision energy.

Polarization increases with wider rapidity windows.

Dependence on the equation of state and collision centrality.

Abstract

Predictions for the global polarization of $\Lambda$ hyperons in Au+Au collisions at moderately relativistic collision energies, 2.4 $\leq\sqrt{s_{NN}}\leq$ 11 GeV, are made. These are based on the thermodynamic approach to the global polarization incorporated into the model of the three-fluid dynamics. Centrality dependence of the polarization is studied. It is predicted that the polarization reaches a maximum or a plateau (depending on the equation of state and centrality) at $\sqrt{s_{NN}}\approx$ 3 GeV. It is found that the global polarization increases with increasing width of the rapidity window around the midrapidity.