Intermittency Analysis of Charged Particles (\(\pi ^{\pm }\), \(K^{\pm }\)) Generated in \(p-Pb\) Collisions at LHC Energies Using AMPT Model

This study provides a thorough analysis of the multiplicities of charged particles (\(\pi ^{\pm }, \varvec{K}^{\pm }\)) produced in \(p-\varvec{P}b\) collisions at \(\sqrt{s_\textrm{NN}}\) = 5.02 and 8.16 TeV. We utilize the scaled factorial moment (SFM) method to analyze events generated by the AMPT model, specifically examining cases with \(\pi ^0\) and \(\varvec{K}_s^0\) decays both turned off as AMPT (Decay = Off) and both these decays turned on as AMPT (Decay = On). We derive the anomalous fractal dimension (\(d_q\)) from the intermittency exponent (\(\alpha _q\)) and analyze its variations with changing order \(q\). Several measures, including the anomalous fractal dimension, degree of multifractality (r), critical exponent (\(\nu \)), Lévy index (\(\mu \)), and multifractal specific heat (c), show the observed intermittent variations. Additionally, we investigate the quark-hadron phase transition through a second-order phase transition, adopting a scaled factorial moment approach with Ginzburg-Landau theory. This study includes a comparison of critical exponent (\(\nu \)) values derived from AMPT-simulated datasets and data from Au+Au collisions at energies ranging from \(\sqrt{s_\textrm{NN}} = \mathbf {7.7}\) to 200 GeV. Also, we have presented a comparison of the generalized fractal dimension (\(\varvec{D}_q\)) and specific heat (c) across various emulsion interactions with the AMPT-simulated datasets.