The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC

TL;DR

This paper examines the application of the Tsallis distribution to fit transverse momentum data from proton-proton collisions at 0.9 TeV at the LHC, addressing theoretical consistency and proposing an improved model.

Contribution

The paper clarifies the thermodynamic consistency of the Tsallis distribution in high-energy quantum contexts and introduces an improved form for better data fitting.

Findings

Successful fits of the improved Tsallis form to experimental data

Estimates of the parameters q and T from the fits

Discussion on thermodynamic consistency of the distribution

Abstract

The Tsallis distribution has been used recently to fit the transverse momentum distributions of identified particles by the STAR and PHENIX collaborations at the Relativistic Heavy Ion Collider and by the ALICE and CMS collaborations at the Large Hadron Collider. Theoretical issues are clarified concerning the thermodynamic consistency of the Tsallis distribution in the particular case of relativistic high energy quantum distributions. An improved form is proposed for describing the transverse momentum distribution and fits are presented together with estimates of the parameter $q$ and the temperature $T$.