Multiplicity dependence of the $p_T$-spectra for charged particles and its relationship with partonic entropy

TL;DR

This paper explores how the transverse momentum spectra of charged particles depend on multiplicity in high-energy collisions, linking partonic entropy and saturation scale to gluon dynamics and analyzing data from ALICE experiments.

Contribution

It introduces a novel parameterization of partonic distribution using non-extensive entropy and saturation scale, providing new insights into gluon dynamics at high energies.

Findings

Identifies the relationship between multiplicity and the partonic saturation scale.

Proposes a multiplicity-dependent scaling function for $p_T$ spectra.

Analyzes the interaction area variation with multiplicity.

Abstract

We investigate the multiplicity dependence of the transverse momentum $p_T$ spectra of hadrons produced in high-energy collisions. We propose that the partonic distribution be parameterized by its non-extensive entropy and the parton saturation scale $Q_s(x)$. These two variables can be identified from the produced charged hadron distributions and provide important information on the gluon dynamics at the moment of interaction. From this perspective we interpret data from different ALICE multiplicity classes at $\sqrt{s}= 13$ TeV and $\sqrt{s}= 5.02$ TeV. A multiplicity dependent scaling function is presented and the dependence of the interaction area on multiplicity is also investigated.