Fractal dimensions from a three-dimensional intermittency analysis in e+e− annihilation

Abstract The intermittency structure of multihadronic e + e − annihilation is analyzed by evaluating the factorial moments F 2 − F 5 in three-dimensional Lorentz invariant phase space as a function of the resolution scale. We interpret our data in the language of fractal objects. It turns out that the fractal dimension depends on the resolution scale in a way that can be attributed to geometrical resolution effects and dynamical effects, such as the π 0 Dalitz decay. The LUND 7.2 hadronization model provides an excellent description of the data. There is no indication of unexplained multiplicity fluctuations in small phase space regions.