Self-Similarity, Fractality and Entropy Principle in Collisions of Hadrons and Nuclei at Tevatron, RHIC and LHC
Publications, 13 January 2021
We offer to your attention a new preprint «Self-Similarity, Fractality and Entropy Principle in Collisions of Hadrons and Nuclei at Tevatron, RHIC and LHC» E2-2020-24 published by the JINR Publishing Department. The authors are Zborovský I., Tokarev M.
The z-scaling of inclusive spectra as a manifestation of self-similarity and fractality of hadron interactions is illustrated. The scaling for negative particle production in Au+Au collisions from BES-I program at RHIC is demonstrated. The scaling function ψ(z) as a function of self-similar variable z depends on the model parameters — the fractal dimensions and “specific heat”, and reveals energy, multiplicity, and flavor independence. Based on the maximum entropy principle and z-scaling, energy loss as a function of the collision energy, centrality, and transverse momentum of inclusive particle is estimated. New conservation law including fractal dimensions and momentum fractions is found. Quantization of fractal dimensions is discussed.
The investigation has been performed at the Veksler and Baldin Laboratory of High Energy Physics.