Systematic properties of the Tsallis Distribution: Energy Dependence of Parameters in High-Energy p-p Collisions

TL;DR

This study investigates how the parameters of the Tsallis distribution, used to model transverse momentum distributions in high-energy proton-proton collisions, vary with beam energy, revealing a slight increase in the q parameter and energy independence of temperature and volume.

Contribution

It systematically analyzes the energy dependence of Tsallis parameters in high-energy p-p collisions, providing new insights into their behavior across different beam energies.

Findings

Tsallis q parameter increases slightly with energy

Temperature and volume are energy-independent within uncertainties

Provides a systematic energy dependence analysis of Tsallis parameters

Abstract

Changes in the transverse momentum distributions with beam energy are studied using the Tsallis distribution as a parameterization. The dependence of the Tsallis parameters q, T and the volume are determined as a function of beam energy. The Tsallis parameter q shows a weak but clear increase with beam energy with the highest value being approximately 1.15. The Tsallis temperature and volume are consistent with being independent of beam energy within experimental uncertainties.