Some observations related to intermittency and multifractality in 28Si and 12C-nucleus collisions at 4.5 A GeV

An attempt is made to study the existence of dynamical fluctuations of relativistic particles using the methods of modified multifractal moments, G(q), and scaled factorial moments, F-q, in terms of new scaled variable X(eta) suggested by Bialas and Gazdzicki. For this purpose analyses of experimental and UrQMD data involving interactions of Si-28 and C-12 nuclei at 4.5 A GeV/c with nuclear emulsion are used. The variation of ln < G(q)> and ln < F-q > with In M in pseudorapidity (eta) phase space reveals power law behaviour. The values of slopes, tau(q) and phi(q), determined from the analyses of G(q), and F-q, moments are discussed. The generalized fractal dimensions, D-q, determined from the above methods are found to decrease with the order of the moments, q, indicating multifractality in multiparticle production. It is also observed that the spectral function f(alpha(q)) for heavier projectile is much broader than for lighter beam due to larger number of participating nucleons present in heavier projectile. (c) 2006 Elsevier B.V. All rights reserved.