Energy spectrum of cosmic-ray muons

Mathematics – Probability

Scientific paper

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Cosmic Rays, Energy Spectra, Muons, Particle Energy, Particle Production, Statistical Analysis

Scientific paper

The energy spectrum of cosmic-ray muons at sea-level is calculated by the numerical integration of a diffusion equation, assuming a scaling model. The calculated spectrum is in good agreement with the observed data of muons with the zenith angles of 0 deg and nearly 90 deg. Furthermore, by this comparison, it is concluded that the scaling model is valid up to the muon energy of 6.9 TeV. It is also found that the survival probability of muons at large zenith angles is in favor of that calculated by Ramana Murthy rather than that obtained by Dau et al. (1975). Two production spectra of muons obtained by Thompson and Whalley (1977) and Dau et al. are analyzed in reference to the recent experimental data. As a result, it is concluded that the power law exponent of the differential-energy spectrum of muon parent particles is 2.75 + or - 0.15 in the muon energy range from 110 GeV to 6.9 TeV.

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