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Publication . Conference object . Article . Other literature type . Preprint . 2020

Self-similarity, fractality and entropy principle in collisions of hadrons and nuclei at Tevatron, RHIC and LHC

I. Zborovský; Mikhail Tokarev;
Open Access
$z$-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 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.
Comment: 19 pages, 9 figures; Presented at the 40th International Conference on High Energy Physics, ICHEP2020
Subjects by Vocabulary

Microsoft Academic Graph classification: Tevatron Scaling Conservation law Momentum Quantization (physics) Physics Large Hadron Collider Particle physics Hadron Recoil Production (computer science) Energy (signal processing)

arXiv: Nuclear Experiment High Energy Physics::Experiment


High Energy Physics - Phenomenology, High Energy Physics - Experiment, Nuclear Experiment, Radiology, Nuclear Medicine and imaging, Nuclear and High Energy Physics, Atomic and Molecular Physics, and Optics, Radiation, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Experiment (hep-ex), Nuclear Experiment (nucl-ex), FOS: Physical sciences, nucl-ex, Nuclear Physics - Experiment, hep-ex, Particle Physics - Experiment, hep-ph, Particle Physics - Phenomenology

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