Some intriguing aspects of multiparticle production processes

TL;DR

This paper explores the use of superstatistics to analyze multiparticle production, highlighting scaling properties, oscillatory behaviors, and limitations of traditional statistical methods in small or edge phase space systems.

Contribution

It introduces a superstatistical approach to multiparticle production, addressing cases where traditional statistics fail, and discusses phenomena like log-periodic oscillations and oscillations of temperature.

Findings

Superstatistics captures phase space scaling and self-similarity.

Oscillatory behavior observed in multiplicity distributions.

Modified combinants show oscillations consistent with experimental data.

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.