Fractality in hadron interactions: a conservation law and quantization of fractal dimensions

0532531 - ÚJF 2021 RIV FR eng C - Konferenční příspěvek (zahraniční konf.)
Zborovský, Imrich
Fractality in hadron interactions: a conservation law and quantization of fractal dimensions.
EPJ Web of Conferences. Vol. 204. Les Ulis: EDP Sciences, 2019, č. článku 06002. ISSN 2100-014X.
[24th International Baldin Seminar on High Energy Physics Problems - Relativistic Nuclear Physics and Quantum Chromodynamics (Baldin ISHEPP). Dubna (RU), 17.09.2018-22.09.2018]
Grant CEP: GA MŠMT(CZ) LTT17018
Institucionální podpora: RVO:61389005
Klíčová slova: high energy collisions * hadrons * nuclei
Obor OECD: Particles and field physics

A microscopic scenario of constituent interactions in high energy collisions of hadrons and nuclei is studied. The concept is based on the z-scaling of inclusive spectra observed in a wide range of collision energies, multiplicity densities, momenta, and angles of detected particles. We bring arguments that, due to the fractality and self-similarity of the hadron interactions assumed in the z-scaling scheme, there exists a conservation law of a new quantity named 'fractal cumulativity'. The conserved quantity is proportional to the corresponding fractal dimensions and is a simple function of the respective momentum fractions. Based on statistical ideas and entropy considerations we demonstrate that the fractal dimensions possess quantum character.
Trvalý link: http://hdl.handle.net/11104/0310997