Self-similarity in particle production in hadron-nucleus interactions at 350 and 200 GeV/c.

Self-similarity in multiparticle production in {pi}{sup {minus}}-nucleus interactions at 350 and at 200 GeV/{ital c} has been studied in terms of factorial moments {ital F}{sub {ital q}} as well as fractal moments {ital G}{sub {ital q}}. Fractal parameters, already developed in the classical chaotic system, have been discussed and those parameters for multiparticle production in {pi}{sup {minus}}-nucleus interactions have been evaluated. While the {ital F}-moment analysis confirms nonstatistical fluctuations, and in terms of anomalous dimensions, predicts cascading in hadronization, multifractality is indicated through the {ital G}-moment analysis. Variation in the nature or values of fractal parameters have been studied in different sizes of phase space and in different energies for the same reactants. Such a phenomenological analysis is essential at the present stage of development in the study of fractality in multiparticle production.