Self-Affine Multifractal Spectrum and Levy Stability Indexfrom NA27 Data

A self-affine analysis of multiparticle production in pp collisions at 400GeV/c was performed by using the method of continuously varying scale and the method of the factorial moments of continuous order. The self-affine generalized fractal dimensions and multifractal spectrum have been obtained. The self-affine multifractal spectrum is concave downward with a maximum at q=0, f(α(0)) = D(0) = 1.D(q) decreases with increasing q showing that there is self-affine multifractal behaviour in multiparticle production at the 400GeV/c pp collisions. The Levy index μ > 1 indicates that a non-thermal phase transition may exist in the pp collisions at 400GeV/c.