A generalized approach to study low as well as high $p_T$ regime of transverse momentum spectra

TL;DR

This paper introduces a unified formalism based on generalized non-extensive statistics to comprehensively describe the transverse momentum spectra across both low and high $p_T$ regions in heavy-ion collisions, providing deeper insights into particle production and elliptic flow.

Contribution

It presents a novel unified approach using Pearson distribution-based non-extensive statistics to model $p_T$ spectra across all regimes in heavy-ion collisions.

Findings

Successfully models both low and high $p_T$ spectra

Provides insights into particle production mechanisms

Enhances understanding of elliptic flow phenomena

Abstract

A good understanding of the transverse momentum $(p_T)$ spectra is pivotal in the study of QCD matter created during the heavy-ion collision. Considering the difference in the underlying particle production mechanism, $p_T$ spectra can be divided into two distinct regions. Low-$p_T$ region corresponds to particle produced in soft-processes whereas particles produced in hard processes dominate the high-$p_T$ regime of the spectra. We will discuss a unified formalism to explain both low as well as high-$p_T$ region of the transverse momentum spectra in a consistent manner. This unified formalism is based on the generalisation of non-extensive statistical mechanics using the Pearson distribution. This generalised formalism also gives a strong insight into the study of elliptic flow in heavy-ion collision.