Nonextensive Statistics and Multiplicity Distribution in Hadronic Collisions

TL;DR

This paper explores how Tsallis' nonextensive statistics can describe particle multiplicity distributions in high-energy hadronic collisions, showing they are broader than Poisson and resemble negative binomial distributions.

Contribution

It demonstrates that nonextensive statistics naturally produce multiplicity distributions similar to those observed in high-energy hadron collisions, providing a theoretical basis for phenomenological models.

Findings

Multiplicity distributions are wider than Poisson for q>1.

Distributions resemble negative binomial distributions.

Nonextensive statistics can model particle production in high-energy collisions.

Abstract

The multiplicity distribution of particles in relativistic gases is studied in terms of Tsallis' nonextensive statistics. For an entropic index q>1 the multiplicity distribution is wider than the Poisson distribution with the same average number of particles, being similar to the negative binomial distribution commonly used in phenomenological analysis of hadron production in high-energy collisions.