# Multiplicity spectra in $e^{+}e^{-}$ and $\overline{p}p$ collisions in terms of Tsallis and Weibull distributions

## TL;DR

This study compares Tsallis and Weibull distributions in modeling charged hadron production in electron-positron and proton-antiproton collisions, finding Tsallis provides a better fit and indicating non-extensive behavior.

## Contribution

It introduces a two-component model with 2-jet modifications to improve distribution fits and demonstrates the superiority of Tsallis over Weibull in describing collision data.

## Key findings

- Tsallis distribution outperforms Weibull in data fitting.
- Two-component model effectively captures soft and hard interactions.
- Non-extensive Tsallis statistics better describe multiparticle production.

## Abstract

Charged hadron production in the $e^{+}e^{-}$ annihilations at 91 to 206 GeV in full phase space and in $\overline{p}p$ collisions at 200 to 900~GeV collision energies are studied using non-extensive Tsallis and stochastic Weibull probability distributions.~The Tsallis distribution shows better description of the data than the Weibull distribution. The 2-jet modification of the statistical distribution is applied to describe $e^{+}e^{-}$ data.~The main features of these distributions can be described by a two-component model with soft, collective interactions at low transverse energy and hard, constituent interactions dominating at high transverse energy.~This modification is found to give much better description than a full-sample fit, and again Tsallis function is found to better describe the data than the Weibull one pointing at the non-extensive character of the multiparticle production process.