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Two approaches to treat the chemical freeze-out of strange particles inhadron resonance gas model are analyzed. The first one employs theirnon-equillibration via the usual \gamma_s factor and such a model describes thehadron multiplicities measured in nucleus-nucleus collisions at AGS, SPS andRHIC energies with \chi^2/dof = 1.15. Surprisingly, at low energies we find notthe strangeness suppression, but its enhancement. Also we suggest analternative approach to treat the strange particle freeze-out separately, butwith the full chemical equilibration. This approach is based on theconservation laws which allow us to connect the freeze-outs of strange andnon-strange hadrons. Within the suggested approach the same set of hadronmultiplicities can be described better than within the conventional approachwith \chi^2/dof = 1.06. Remarkably, the fully equilibrated approach describesthe strange hyperons and antihyperons much better than the conventional one.

Chemical Freeze-out of Strange Particles and Possible Root of Strangeness Suppression