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Based on the three-fluid model, the global $\Lambda$ polarization in Au+Aucollisions at 2.4 $\leq\sqrt{s_{NN}}\leq$ 7.7 GeV is calculated, including itsrapidity and centrality dependence. Contributions from the thermal vorticityand meson-field term (proposed by Csernai, Kapusta and Welle) to the globalpolarization are considered. The results are compared with data from recent andongoing STAR and HADES experiments. It is predicted that the polarizationmaximum is reached at $\sqrt{s_{NN}}\approx$ 3 GeV, if the measurements areperformed with the same acceptance. The value of the polarization is verysensitive to interplay of the aforementioned contributions. In particular, thethermal vorticity results in quite strong increase of the polarization from themidrapidity to forward/backward rapidities, while the meson-field contributionconsiderably flattens the rapidity dependence. The polarization turns out to bevery sensitive to details of the equation of state. While collision dynamicsbecome less equilibrium with decreasing collision energy, the present approachto polarization is based on the assumption of thermal equilibrium. It is foundthat equilibrium is achieved at the freeze-out stage, but this equilibrationtakes longer at moderately relativistic energies.

Global $\Lambda$ polarization in heavy-ion collisions at energies 2.4--7.7 GeV: Effect of Meson-Field Interaction