FACTORIAL MOMENTS, CUMULANTS AND CORRELATION INTEGRALS IN PI+P AND K+P INTERACTIONS AT 250 GEV C/

A selected sample of 59200 pi+ p and K+ p non-single-diffrative intera ctions at square-root s = 22 GeV is used to investigate one, two- and three-dimensional factorial moments, factorial cumulant moments, as we ll as correlation integrals. The rise of factorial moments and cumulan ts with decreasing phase-space volume is stronger when evaluated in th ree than in lower dimensions. Ratios of slopes are easier to obtain th an the slopes themselves. Contrary to earlier findings, they turn out to depend on the dimension. The order dependence of the averaged ratio s is better described by a Levy stable law solution with mu = 1.6 than by Gaussian approximation of the alpha-model (mu = 2) or a second ord er phase transition (mu = 0), but values mu > 2 inconsistent with Levy -type fluctuations are reached in a three-dimensional analysis. The mu ltiparticle contributions to the factorial moments are calculated by m eans of factorial cumulant moments. A particular improvement of the me thod is that of correlation (or density) integrals. It leads to the co nclusion that Bose-Einstein interference plays an important role in th e intermittency effect, but indication is found for an interpretation alternative to the conventional view of Bose-Einstein correlations.