Structures in the primary spectrum

Abstract

Structures in the energy spectrum of primary cosmic rays at the ‘knee’ region and for energies higher than 1 EeV are obtained through studying extensive air showers (EAS). The main problem of the research is the fact that we work in the ranges of highly fluctuating parameters used to obtain the primary energy spectrum. In this paper the log-normal distribution for the error function has been used in convolution with the power spectrum to explain the Yakutsk experimental data. Similar results have been obtained for the gamma distribution as the error function. Using the power law primary spectrum in the energy region around 1019 eV we will argue that the primary Yakutsk spectrum is overestimated. In the best case this overestimation is not less than 42%.