J. Kempa et M. Samorski, RESULTS OF FRACTAL ANALYSIS OF THE KIEL EXTENSIVE AIR SHOWER DATA, Journal of physics. G, Nuclear and particle physics, 24(6), 1998, pp. 1039-1060
For years there has been a problem in cosmic ray studies of how to dis
tinguish individual extensive air showers (EAS) originating from prima
ry protons, heavy nuclei or primary photons. In this paper results of
experimental data obtained from the fractal analysis of particle densi
ty distributions in individual EAS detected in the range of shower siz
es N-c between 1.4 x 10(5)-5 x 10(6) by the old Kiel experiment are pr
esented. The Lipschitz-Holder exponent distributions of EAS detected b
y the Kiel experiment are discussed. The examples of EAS most probably
originating from primary protons, heavy nuclei and high-energy gamma-
rays are presented. The lateral distributions of charged particle dens
ities at small distances, angular and size spectra and the mass compos
ition of primary cosmic ray particles around the 'knee' of the energy
spectrum are discussed. The Monte Carlo simulation data illustrating t
he problem of interest are also shown.