Ultrahigh-energy cosmic-ray spectrum

Mathematics – Logic

Scientific paper

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Observational Cosmology

Scientific paper

We analyze the evolution of the ultrahigh-energy cosmic-ray spectrum upon traversing the 2.7 °K microwave background with respect to pion photoproduction, pair-production reactions, and cosmological effects. Our approach employs exact transport equations which manifestly conserve nucleon number and embody the laboratory details of these reactions. A spectrum enhancement appears around 6×1019 eV due to the ``pile-up'' of energy-degraded nucleons, and a ``dip'' occurs around 1019 eV due to combined effects. Both of these features appear in the observational spectrum. We analyze the resulting neutrino spectrum and the effects of cosmological source distributions. We present a complete model of the ultrahigh-energy spectrum and anisotropy in reasonable agreement with observation and which predicts an observable electron-neutrino spectrum.

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