Speaker
Description
A hot and dense system formed in heavy-ion collisions can be characterized by studying the scaling behavior of the spatial distributions of the produced particles. In this contribution, we present intermittency analysis of the normalized factorial moments ($F\rm{_{q}}$) of the multiplicity distributions of the charged particles produced in Pb--Pb collisions as a function of phase-space resolution. The spatial configurations of the charged particles in two-dimensional ($\eta,\varphi$) phase space are investigated. For a system with scale-invariant dynamical fluctuations due to the characteristic critical behavior near the phase transition, the $F\rm{_{q}}$ exhibits power-law growth with increasing phase-space resolution, which is a signature of self-similar fluctuations and the fractal structure of the system. The dependence of the fractal dimension $D_{q}$ on the order parameter $q$ is indicative of the multifractal nature of the system. By relating the $q^{\rm{th}}$-order $F\rm{_{q}}$ to the normalized second-order factorial moment ($F\rm{_{2}}$), we extract the scaling exponent ($\nu$), which provides information about the order of the phase transition in the framework of the Ginzburg-Landau theory. The first results of the intermittency analysis show the presence of scale-invariant fluctuations, the multifractal nature of the system, and that $\nu$ is independent of $p\rm{_{T}}$ in the soft $p\rm{_{T}}$ region. The measurements are also compared with the corresponding results from the AMPT and HIJING models.
Category | Experiment |
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Collaboration (if applicable) | ALICE |