The power-law relation between higher order and second order scaled factorial moments has been investigated for secondary particles produced in interactions of 800 GeV protons with emulsion nuclei in one-dimensional (pseudorapidity and azimuthal angle) and two-dimensional (pseudorapidity and azimuthal angle) spaces for three multiplicity intervals. The moment power law is found to be independent of multiplicity cuts and phase space dimension. A universal scaling exponent is determined which indicates that there is no second-order phase transition in the interactions. The ratios of higher-order anomalous fractal dimensions with respect to the second-order anomalous fractal dimension are well represented by the Lévy-stable distribution and give clear evidence of a self-similar cascading mechanism in the interactions.

• Received 13 July 1994

DOI:https://doi.org/10.1103/PhysRevC.50.2963