A unified statistical approach to explain the transverse momentum spectra in hadron-hadron collision

TL;DR

This paper applies the Pearson statistical framework to successfully model the transverse momentum spectra of charged hadrons in proton-proton collisions across various energies, covering both soft and hard processes.

Contribution

It introduces a unified statistical approach using Pearson distribution to explain particle spectra in high-energy collisions, bridging soft and hard scattering processes.

Findings

Pearson framework effectively models spectra at high $p_T$

Unified description for soft and hard processes

Applicable across a wide energy range

Abstract

Thermodynamical description of the system created during high energy collision requires a proper thermodynamical framework to study the distribution of particles. In this work, we have attempted to explain the transverse momentum spectra of charged hadrons formed in $pp$ collision at different energies using the Pearson statistical framework. This formalism has been proved to nicely explain the spectra of particles produced in soft processes as well hard scattering processes in a consistent manner. For this analysis, we have used the highest available range of $p_T$ published by experiments to verify the applicability of Pearson statistical framework at large $p_T$.