“…Indeed, using just two extra parameters, the hard-core radii of pions R π and kaons R K , in addition to the hard-core radii of baryons R b and the ones of other mesons R m which are traditionally employed in the HRGM, it was possible to achieve a very accurate description of all independent hadron multiplicity ratios measured prior to the LHC era with a χ 2 /dof which is in the range between 1.15 [15,16,17] and 0.96 [18]. The high accuracy achieved by the HRGM with multicomponent hard-core repulsion allowed us not only to elucidate the characteristics of the CFO of A+A collisions, but also to reveal new irregularities of thermodynamic quantities at the CFO and to formulate new signals of two phase transitions [19,20,21,22,23] which are expected to exist in strongly interacting matter.…”