Mass hierarchy and energy scaling of the Tsallis--Pareto parameters in hadron productions at RHIC and LHC energies

TL;DR

This study analyzes how Tsallis-Pareto distribution parameters vary with hadron mass and collision energy in high-energy nuclear collisions, revealing system size effects and deviations from classical statistics.

Contribution

It introduces a detailed analysis of mass hierarchy and energy scaling of Tsallis-Pareto parameters in hadron production at RHIC and LHC energies, extending previous work to new collision systems.

Findings

Mass hierarchy observed in Tsallis parameters across hadron types.

Energy dependence of parameters consistent with system size effects.

Deviations from Boltzmann-Gibbs statistics in finite-volume systems.

Abstract

The latest, high-accuracy identified hadron spectra measurements in high-energy nuclear collisions led us to the investigation of the strongly interacting particles and collective effects in small systems. Since microscopical processes result in a statistical Tsallis-Pareto distribution, the fit parameters $q$ and $T$ are well suited for identifying system size scalings and initial conditions. Moreover, parameter values provide information on the deviation from the extensive, Boltzmann-Gibbs statistics in finite-volumes. We apply here the fit procedure developed in our earlier study for proton-proton collisions. The observed mass and $\sqrt{s}$ energy trends in the hadron production are compared to RHIC dAu and LHC pPb data in different centrality/multiplicity classes. Here we present new results on mass hierarchy in pp and pA from light to heavy hadrons.