Levy Stability Index from Multifractal Spectrum

Abstract

A method for extracting the Levy stability index $\mu$ from the multi-fractal spectrum $f(\alpha )$ in high energy multiparticle production is proposed. This index is an important parameter, characterizing the non-linear behaviour of dynamical fluctuations in high energy collisions. Using the random cascading $\alpha$ model as example, the validity of this method is tested. It is shown that this method, basing on a linear fit, is consistent with and more accurate than the usual method of fitting the ratio of $q$th to 2nd order multi-fractal (Rényi) dimensions to the Peschanski formula.

Comments: 7 pages 4 PS figures Record-No: HZPP-9809