Tawfik, AbdelYassin, HayamAbo Elyazeed, Eman R.2019-11-092019-11-092018-10Cited References in Web of Science Core Collection: 500973-1458https://doi.org/10.1007/s12648-018-1216-2https://link.springer.com/article/10.1007/s12648-018-1216-2Accession Number: WOS:000445092100013The particle production in relativistic heavy-ion collisions seems to be created in a dynamically disordered system which can be best described by an extended exponential entropy. In distinguishing between the applicability of this and Boltzmann-Gibbs (BG) in generating various particle-ratios, generic (non)extensive statistics is introduced to the hadron resonance gas model. Accordingly, the degree of (non)extensivity is determined by the possible modifications in the phase space. Both BG extensivity and Tsallis nonextensivity are included as very special cases defined by specific values of the equivalence classes (c,d). We found that the particle ratios at energies ranging between 3.8 and 2760GeV are best reproduced by nonextensive statistics, where c and d range between 0.9. The present work aims at illustrating that the proposed approach is well capable to manifest the statistical nature of the system on interest. We don't aim at highlighting deeper physical insights. In other words, while the resulting nonextensivity is neither BG nor Tsallis, the freezeout parameters are found very compatible with BG and accordingly with the well-known freezeout phase-diagram, which is in an excellent agreement with recent lattice calculations. We conclude that the particle production is nonextensive but should not necessarily be accompanied by a radical change in the intensive or extensive thermodynamic quantities, such as internal energy and temperature. Only, the two critical exponents defining the equivalence classes (c,d) are the physical parameters characterizing the (non)extensivity.enUniversity for Quantum statistical mechanicsParticle production in relativistic collisionsProbability theoryNON-EXTENSIVE THERMODYNAMICSNUCLEUS-NUCLEUS COLLISIONSLATTICE QCD THERMODYNAMICSHEAVY-ION COLLISIONSPLUS AU REACTIONSPARTICLE-PRODUCTIONEXCITATION-FUNCTIONENERGIESPHASEENTROPYArticlehttps://doi.org/10.1007/s12648-018-1216-2