Abstract
A study of multifractality and multifractal specific heat has been carried out for the produced shower particles in nuclear emulsion detector for16O-AgBr,28Si-AgBr, and32S-AgBr interactions at 4.5AGeV/c in the framework of Renyi entropy. Experimental results have been compared with the prediction of Ultra-Relativistic Quantum Molecular Dynamics (UrQMD) model. Our analysis reveals the presence of multifractality in the multiparticle production process in high energy nucleus-nucleus interactions. Degree of multifractality is found to be higher for the experimental data and it increases with the increase of projectile mass. The investigation of quark-hadron phase transition in the multiparticle production in16O-AgBr,28Si-AgBr, and32S-AgBr interactions at 4.5 AGeV/c in the framework of Ginzburg-Landau theory from the concept of multifractality has also been presented. Evidence of constant multifractal specific heat has been obtained for both experimental and UrQMD simulated data.
Highlights
The study of nonstatistical fluctuations and correlations in relativistic and ultra-relativistic nucleus-nucleus collisions has become a subject of major interest among the particle physicists
In this paper we have extended our analysis of Renyi entropy to the study of fractality in multiparticle production of 16O-AgBr, 28Si-AgBr, and 32S-AgBr interactions at 4.5AGeV/c
In this paper we have presented an analysis of multifractality and multifractal specific heat in the frame work of Renyi entropy analysis for the produced shower particles in nuclear
Summary
The study of nonstatistical fluctuations and correlations in relativistic and ultra-relativistic nucleus-nucleus collisions has become a subject of major interest among the particle physicists. In high energy physics intermittency is defined as the power law behavior of scaled factorial moment with the size of the considered phase space [1, 2]. This method has its own advantage that it can extract nonstatistical fluctuations after extricating the normal statistical noise [1, 2]. The study of nonstatistical fluctuations by the method of scaled factorial moment leads to the presence of self-similar fractal structure in the multiparticle production of high energy nucleus-nucleus collisions [3]. To get both qualitative and quantitative idea concerning the multiparticle production mechanism fractality study in heavy-ion collisions is expected to be very resourceful
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