Search for nonextensivity in electron-proton interactions at $\sqrt{s}$ = 300 GeV

TL;DR

This paper investigates the nonextensive statistical properties of electron-proton interactions at 300 GeV using entropy and ensemble theory, comparing findings with recent LHC results to understand hadron production dynamics.

Contribution

It applies the canonical ensemble approach to analyze entropy and temperature in ep interactions, exploring nonextensivity and system volume effects in hadron production.

Findings

Identification of entropic parameters and collision temperature in ep interactions.

Insights into the role of system volume in hadron production.

Comparison with LHC results on transverse momentum distributions.

Abstract

Study of canonical entropy in electron-proton interactions at $\sqrt{s}$ = 300 GeV is presented. The precision data collected by the H1 experiment at the HERA in different ranges of invariant hadronic mass $W$ and the squared four-momentum exchange $Q^{2}$ in $ep$ interactions have been analyzed in the ensemble theory approach. The canonical partition function relates to the multiplicity distribution which is often studied in collider experiments. We use the canonical ensemble partition function to explore the dynamics of hadron production in $ep$ interactions by devising different methods to find the entropic parameter and the collision temperature. The inverse slope of the transverse momentum spectrum of produced hadrons also relates to the temperature. In the recent past, the CMS, ATLAS and ALICE experiments at the LHC have studied the charged hadron transverse momentum and particle distributions in proton-proton and proton-nucleus interactions by using the Tsallis function within this approach. A detailed investigation into the role of the system volume and relation amongst different dynamical parameters reveals interesting results.