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Global polarization of hyperons induced by the local vorticity of the mediumcreated in heavy-ion collisions at energies 2.3\,GeV$\le\sqrt{s_{NN}}\le$11.5GeV is calculated in the parton-hadron-string dynamic (PHSD) model. Theseparation of spectator nucleons and the fluidization of the generated particledistributions are performed. The polarization of all anti-hyperon species isfound significantly larger than that of hyperons. The $\overline{\Xi}$ hyperonsare found to be polarized as strong as $\overline{\Lambda}$s but $\Xi$ hyperonshave weaker polarization compared to $\Lambda$s. The $\Omega$ and$\overline{\Omega}$ polarizations show the strongest dependence on thecollision energy. Despite the strong polarization of the produced $\Lambda$sand $\overline{\Lambda}$s induced by the vortical flows in the medium, theobserved polarization signal is significantly depleted because of the feed downfrom weak and electromagnetic decays of heavier hyperons. Particularly strongsuppression is found to be due to electromagnetic decays of $\Sigma^0$hyperons, which multiplicities obtained in the transport are poorly constrainedboth from the microscopic input of the $\Sigma^0$ production reactions and fromthe experimental data. The final $\Lambda(\overline{\Lambda})$ polarizationsignal strongly depends on the $\Sigma^0$ multiplicity generated in the model.With all these effects we can reproduce the measured global $\Lambda$polarization in collisions at $\sqrt{s_{NN}}=7.7$ and $11.5$ GeV and the global$\overline{\Lambda}$ polarization at 11.5 GeV. For energies $< 3$ GeV, thecalculated $\Lambda$ polarization is smaller than the observed one. Thepolarization of $\Xi(\overline{\Xi})$ hyperons is calculated. The signal of$\Xi(\overline{\Xi})$ polarization is argued to be insensitive to feed-downeffects and be a more direct probe of the degree of the vorticity in thesystem.

Hyperon global polarization in heavy-ion collisions at NICA energies. Feed-down effects and the role of $\Sigma^0$ hyperons