Scaling behaviour of charged particles generated in Xe$-$Xe collisions at $\sqrt{s_{\rm{NN}}}$ = 5.44 TeV using the AMPT model

TL;DR

This study investigates the scaling behavior of charged particle fluctuations in Xe-Xe collisions at 5.44 TeV using the AMPT model, revealing fractal and self-similar properties of particle emission spectra.

Contribution

It introduces a detailed analysis of intermittency, fractal dimensions, and scaling exponents in heavy-ion collisions using the AMPT model, enhancing understanding of multiparticle production dynamics.

Findings

Linear power-law growth of factorial moments indicates intermittency.

Determination of anomalous fractal dimension D_q and intermittency index φ_q.

Scaling exponent ν depends on transverse momentum bin width.

Abstract

The spatial configurations of particles produced in the kinematic phase space during a heavy-ion collision reflect the characteristics of the system created in the collision. The scaling behaviour of the multiplicity fluctuations is studied for the charged particles generated in Xe--Xe collisions at $\sqrt{s_{\rm{NN}}}$ = 5.44 TeV using the String Melting (SM) mode of the AMPT (A Multi-Phase Transport) model. The scaling behaviour of the normalized factorial moments ($F_\text{q}$) give significant information about the dynamics of the systems under study. A linear power-law growth of the $F_\text{q}$ with the increasing phase space resolution, termed as intermittency, is investigated. The anomalous fractal dimension $D_\text{q}$ is determined, which is linked to the self-similarity and fractal nature of the particle emission spectra, a dependence of which on the order of the moment ($q$) is characterised by the intermittency index ($\varphi_{\text{q}}$). Relating $q^{\rm{th}}$ order Normalised Factorial Moment (NFM) with $F_{2}$, the scaling exponent ($\nu$) is determined that quantifies the dynamics of the system created by these collisions and is analyzed for its dependence on the transverse momentum bin width ($\Delta p_\text{T}$). A comparative study of experimental and model results may help to understand the dynamics of multiparticle production in the heavy-ion collisions.