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Global polarization of $\Lambda$ and $\bar{\Lambda}$ hyperons in Au+Aucollisions at collision energies $\sqrt{s_{NN}}=$ 4-40 GeV in the midrapidityregion and total polarization, i.e. averaged over all rapidities, are studiedwithin the scope of the thermodynamical approach. The relevant vorticity issimulated within the model of the three-fluid dynamics (3FD). It is found thatthe performed rough estimate of the global midrapidity polarization quitesatisfactorily reproduces the experimental STAR data on the polarization,especially its collision-energy dependence. The total polarization increaseswith the collision energy rise, which is in contrast to the decrease of themidrapidity polarization. This suggests that at high collision energies thepolarization reaches high values in fragmentation regions.

Estimates of hyperon polarization in heavy-ion collisions at collision energies $\sqrt{s_{NN}}=$ 4--40 GeV