Some intriguing aspects of multiparticle production processes

Abstract

Multiparticle production processes provide valuable information about the mechanism of the conversion of the initial energy of projectiles into a number of secondaries by measuring their multiplicity distributions and their distributions in phase space. They therefore serve as a reference point for more involved measurements. Distributions in phase space are usually investigated using the statistical approach, very successful in general but failing in cases of small colliding systems, small multiplicities, and at the edges of the allowed phase space, in which cases the underlying dynamical effects competing with the statistical distributions take over. We discuss an alternative approach, which applies to the whole phase space without detailed knowledge of dynamics. It is based on a modification of the usual statistics by generalizing it to a superstatistical form. We stress particularly the scaling and self-similar properties of such an approach manifesting themselves as the phenomena of the log-periodic oscillations and oscillations of temperature caused by sound waves in hadronic matter. Concerning the multiplicity distributions we discuss in detail the phenomenon of the oscillatory behaviour of the modified combinants apparently observed in experimental data.

Review article, to be published in Int. J. Mod. Phys. A (2018), 50 pages

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Cited by in corpus (16)

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• Fractal structure and non extensive statistics
• From the Boltzmann equation with non-local correlations to a standard non-linear Fokker-Planck equation
• Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin-orbit interaction
• Fluctuating temperature and baryon chemical potential in heavy-ion collisions and the position of the critical end point in the effective QCD phase diagram
• Intriguing properties of multiplicity distributions
• Comparative study of the heavy-quark dynamics with the Fokker-Planck Equation and the Plastino-Plastino Equation
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• Modified combinant analysis of the $e^{+}{e}^{-}$ multiplicity distributions
• Beyond the relaxation time approximation
• The Multiplicity Scaling of the Fragmentation Function
• Relaxation and correlation times of nonequilibrium multiparticle systems
• Sub-Poissonian multiplicity distributions in jets produced in hadron collisions
• Intriguing feature of multiplicity distributions
• Multiplicity Moments using Tsallis Statistics in High-Energy Hadron-Nucleus Interactions
• A Monte Carlo study of multiplicity fluctuations in proton-proton collisions at $\sqrt{s}=$~7~TeV