We apply the technique of multifractals to study the dynamical properties of the particles produced in semicentral collisions of ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ ions at 200A GeV, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ ions at 200A and 60A GeV, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$ ions at 14.5A GeV, ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ ions at 140A and 11A GeV and a proton beam at 800 GeV in nuclear emulsion. A power-law behavior has been observed in the data. The dynamical fluctuations in multiplicity distributions are characterized by smooth multifractal spectra f(${\mathrm{\alpha }}_{\mathit{q}}$). The results agree quite well with the predictions of a multistring model.

• Received 16 March 1992

DOI:https://doi.org/10.1103/PhysRevC.46.721