# Analysis on hadron spectra in heavy-ion collisions with a new non-extensive approach

## TL;DR

This paper introduces a new non-extensive distribution, the Kaniadakis $$-distribution, to describe hadron spectra in high-energy collisions, showing it outperforms traditional models and offers new insights into non-extensive quantum statistics.

## Contribution

The study applies the Kaniadakis $$-distribution to high-energy collision data, demonstrating its effectiveness over Tsallis and Boltzmann-Gibbs models in describing hadron spectra.

## Key findings

- Kaniadakis distribution fits high-energy collision data well
- It outperforms Tsallis and Boltzmann-Gibbs models in goodness-of-fit
- Provides new perspective on non-extensive quantum statistics in physics

## Abstract

The transverse momentum spectra of identified charged hadrons stemming from high energy collisions at different beam energies are described by a new non-extensive distribution, the Kaniadakis $\kappa$-distribution, with respect to the constraints in non-extensive quantum statistics. All fittings are also compared with the Tsallis distributions as well as the usual Boltzmann-Gibbs one. $\chi^2/ndf$ is also used to test the fitting goodness of all functions. Our results show that these different non-extensive approaches can be well applied in high energy collisions rather than the classical one. The Kaniadakis statistics is typically better applied into such systems with both positive and negative particles considered. This provides an alternative non-extensive view to study high energy physics. Analysis on the fitting parameters are present as well. The similar relationships of all functions remind us of the further understanding of the non-extensivity.