A bump in the ultra-high energy cosmic ray spectrum

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Energetic Particles, Energy Spectra, Pair Production, Red Shift, Relic Radiation, Electron-Positron Pairs, Luminosity, Proton Energy

Scientific paper

The interaction of ultrahigh-energy protons with the 2.7-K microwave radiation leaves its signature on the differential energy spectrum of protons in the form of a pair (e+/e-) production bump, a pair production dip, a pion production bump, and a blackbody cutoff, which follow each other as energy increases. The physical interpretation of these features is presented, and the method of calculation with the help of calculated energy losses of protons in the gas of 2.7-K relic photons is given. The one-source spectra and many-source (diffuse) spectra are calculated for different values of the propagation time. The cosmological effects, including the growth of energy losses with increasing redshift, are taken into account. The one-source spectra at large propagation time distinctly demonstrate all four features. The diffuse spectra can have only pronounced pion bump and blackbody cutoff. Local Supercluster models predict the prominent bump for a wide range of propagation-time values.

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