Spectrum of ultrahigh-energy cosmic rays

Mathematics – Logic

Scientific paper

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Cosmic Rays, Elementary Particle Interactions, Energetic Particles, Energy Spectra, High Energy Interactions, Relic Radiation, Electron-Positron Pairs, Energy Dissipation, Galactic Cosmic Rays, Pair Production

Scientific paper

The interaction of ultra-high energy protons with 2.7K microwave radiation leaves its signature on a differential energy spectrum of protons in the form of pair (e+e-) production bump, pair production dip, pion production bump and "black body cut off" respectively followed each other as energy increases. One-source spectra and many-source (diffuse) spectra are calculated for different values of propagation time in continuous energy approximation. The cosmological effects, including the growth of energy losses with increasing redshift, are taken into account. One-source spectra at large propagation time distinctly demonstrate all four features. The diffuse spectra can have only pronounced pion bump and black body cut off. The Local Supercluster models predict the prominent bump for a wide range of propagation time values. The calculated spectra are compared with the observed ones.

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