# Hadron Spectra Parameters within the Non-Extensive Approach

## TL;DR

This paper examines the application of non-extensive statistical mechanics to high-energy hadron spectra, revealing scaling behaviors and correlations of temperature and non-extensive parameter with collision energy.

## Contribution

It demonstrates the transferability of non-extensive distributions and identifies explicit scaling laws for temperature and q in different collision systems.

## Key findings

- Non-extensive distributions can be transformed into each other.
- Temperature scales linearly with collision energy in proton-proton collisions.
- Temperature and q parameter are linearly correlated in nucleus-nucleus collisions.

## Abstract

We investigate how the non-extensive approach works in high-energy physics. Transverse momentum ($p_T$) spectra of several hadrons are fitted by various non-extensive momentum distributions and by the Boltzmann--Gibbs statistics.~It is shown that some non-extensive distributions can be transferred one into another.~We find explicit hadron mass and center-of-mass energy {scaling both in the temperature and in the non-extensive parameter, $q$,} in proton--proton and heavy-ion collisions. We find that the temperature depends linearly, but the Tsallis $q$ follows a logarithmic dependence on the collision energy in proton--proton collisions. In the nucleus--nucleus collisions, on~the other hand, $T$ and $q$ correlate linearly, as was predicted in our previous work.