Superstatistical cluster decay

TL;DR

This paper explores how superstatistics and Tsallis statistics can model particle cluster decay, revealing conditions under which transverse momentum distributions follow Tsallis-like behavior.

Contribution

It demonstrates that combining Lorentz factor and temperature fluctuations leads to Tsallis distributions in the cluster decay model.

Findings

Distribution becomes Tsallis-like under combined fluctuations

Superstatistics explains the origin of the scale parameter

Model connects fluctuations to observed particle spectra

Abstract

We provide an overview of Tsallis statistics, presented as a special case of superstatistics and applied to the multiparticle processes described by the statistical cluster model. This model combines Boltzman statistics applied to hadronization of clusters and superstatistics induced by fluctuations of their Lorentz factors. It results in a Tsallis-like distribution of transverse momenta with some scale, the origin of which is discussed. We show that this distribution becomes a Tsallis distribution in a special case, namely when one combines fluctuations of the Lorentz factor and temperature inside the cluster, given by beta and gamma distributions, respectively.