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Oliinychenko, Bugaev and Sorin [arXiv:1204.0103 [hep-ph]] considered the roleof conservation laws in discussing possible weaknesses of thermal models whichare utilized in describing the hadron multiplicities measured in centralnucleus-nucleus collisions. They argued to analyse the criteria for chemicalfreeze-out and to conclude that none of them were robust. Based on this, theysuggested a new chemical freeze-out criterion. They assigned to the entropy perhadron the ad hoc value 7.18 and supposed to remain unchanged over the wholerange of the baryo-chemical potentials. Due to unawareness of recentliterature, the constant entropy per hadron has been discussed in Ref. [FizikaB18 (2009) 141-150, Europhys.Lett. 75 (2006) 420]. Furthermore, it has beenshown that the constant entropy per hadron is equivalent to constant entropynormalized to cubic temperature, an earlier criterion for the chemicalfreeze-out introduced in Ref. [Europhys.Lett. 75 (2006) 420, Nucl.Phys.A764(2006) 387-392]. In this comment, we list out the ignored literature, comparebetween the entropy-number density ratio and two criteria of averaged energyper averaged particle number and constant entropy per cubic temperature. Allthese criteria are confronted to the experimental results. The physics ofconstant entropy per number density is elaborated. It is concluded that thisratio can't remain constant, especially at large chemical potential related toAGS and SIS energies.

Comment on "Investigation of Hadron Multiplicity and Hadron Yield Ratios in Heavy-Ion Collisions"