We compute the multifractal moments ${\mathit{G}}_{\mathit{q}}$ in terms of a new scaled variable X suggested by Bialas and Gazdzicki to study the dynamical fluctuations of particles produced in the interactions of ${}_{}{}^{197}{}_{}{}^{}\mathrm{Au}$ at 10.6A GeV with nuclear emulsion. An asymptotic power-law dependence of the moments on the bin size δX has been observed in pseudorapidity (η), azimuthal (φ), and η-φ phase spaces. The dynamical values of the generalized dimensions are determined in all the phase spaces. The dynamical properties of the produced particles are mapped onto smooth multifractal spectra f(Δ${\mathrm{\alpha }}_{\mathit{q}}$) by excluding the statistical contribution. The ${}_{}{}^{197}{}_{}{}^{}\mathrm{Au}$ results are compared with a ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ ion at 14.5A GeV and a ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ beam at 200A GeV.

• Received 18 March 1994

DOI:https://doi.org/10.1103/PhysRevC.50.2508