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Self-Similarity, Fractality and Entropy Principle in Collisions of Hadrons and Nuclei at Tevatron, RHIC and LHC

  • PHYSICS OF ELEMENTARY PARTICLES AND ATOMIC NUCLEI. THEORY
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Abstract

\(z\)-Scaling of inclusive spectra as a manifestation of self-similarity and fractality of hadron interactions is illustrated. The scaling for negative particle production in \({\text{Au}} + {\text{Au}}\) collisions from BES-I program at RHIC is demonstrated. The scaling variable \(z\) depends on the momentum fractions of the colliding objects carried by the interacting constituents, and on the momentum fractions of the fragmenting objects in the scattered and recoil directions carried by the inclusive particle and its counterpart, respectively. Structures of the colliding objects and fragmentation processes in final state are expressed by fractal dimensions. Medium produced in the collisions is described by a specific heat. The scaling function \(\psi (z)\) reveals energy, angular, multiplicity, and flavor independence. It has a power behavior at high \(z\) (high \({{p}_{T}}\)). Based on the 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 is found. Quantization of fractal dimensions is discussed.

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ACKNOWLEDGMENTS

The investigation of (I.Z.) was supported by the RVO61389005 institutional support and by the MEYS of the Czech Republic under the contracts LTT18021 and LTT17018.

Presented at 40th International Conference on High Energy Physics, 28 July–6 August, 2020, Prague, Czech Republic.

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Authors and Affiliations

  1. The Czech Academy of Science, Nuclear Physics Institute, Řež, Czech Republic

    I. Zborovský

  2. Joint Institute for Nuclear Research, Dubna, Russia

    M. Tokarev

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  1. I. Zborovský
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Correspondence to I. Zborovský or M. Tokarev.

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Zborovský, I., Tokarev, M. Self-Similarity, Fractality and Entropy Principle in Collisions of Hadrons and Nuclei at Tevatron, RHIC and LHC. Phys. Part. Nuclei Lett. 18, 302–314 (2021). https://doi.org/10.1134/S1547477121030110

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