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

Abstract

Self-similarity in multiparticle production in ${\ensuremath{\pi}}^{\ensuremath{-}}$-nucleus interactions at 350 and at 200 GeV/c has been studied in terms of factorial moments ${F}_{q}$ as well as fractal moments ${G}_{q}$. Fractal parameters, already developed in the classical chaotic system, have been discussed and those parameters for multiparticle production in ${\ensuremath{\pi}}^{\ensuremath{-}}$-nucleus interactions have been evaluated. While the $F$-moment analysis confirms nonstatistical fluctuations, and in terms of anomalous dimensions, predicts cascading in hadronization, multifractality is indicated through the $G$-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.