Fluctuations and the End of the Primary Energy Spectrum

Abstract

Energy spectrum of primary cosmic rays for energy higher than l EeV is obtained through the study of extensive air showers (EAS). The main problem of the research is the fact that we work in the range of high fluctuation parameters serving us to obtain 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. Using the power low primary spectrum in the energy region around 10 19 eV we will argue that the primary Yakutsk spectrum is overestimated. In the best case this overestimation is not less than 42%.