Multifractals at relativistic energies

Multifractal analysis of multiplicity fluctuations in 16O–emulsion interactions at 3.7 A GeV

“…Ahmad and Ahmad (2006) have also reported similar result in 12 C and 28 Si-AgBr collisions at 3.7 A GeV. Very similar results were also found in heavy ion collisions at BNL and CERN energies (Jain et al, 1990(Jain et al, , 1992(Jain et al, , 1993.…”

“…Table 1 gives the generalized dimensions D q in -andphase space for 16 O-emulsion interactions at 3.7 A GeV. For comparison the corresponding results for 16 O-emulsion interactions at 60 and 200 A GeV (Jain et al, 1992) is also presented in Table 1. It can be concluded that the values of D q for q > 0 in both phase space increases with the increasing beam energy for same projectile.…”

A Study of Multifractal Spectra and Renyi Dimensions in 14.5A GeV/c <sup>28</sup>Si-Nucleus Collisions

“…Self-similar behaviour of particles produced is closely linked to multifractality, which is a consequence of cascading mechanism of particle production in these collisions. Power-law behaviour of Scaled Factorial Moments indeed exhibits fractal patterns [4] [5] in the multiparticle dynamics of the final state of the collisions. Therefore, the issue of self-similarity under the perspective of fractal properties of the hadronic matter in multiparticle production needs to be adequately addressed.…”

Presence of Multifractality in High-Energy Nuclear Collisions

“…For negative values saturating trend is discernible with decreasing δη . The only reason for this behavior appears to be the fact that particle multiplicity will decrease with decreasing bin width, δη [11]. Multifractal moments for CNO group of targets saturates a little earlier in comparison to those for AgBr nuclei.…”