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We derived simple analytical parametrizations for energy distributions ofphotons, electrons, and neutrinos produced in interactions of relativisticprotons with an isotropic monochromatic radiation field. The results onphotomeson processes are obtained using numerical simulations of proton-photoninteractions based on the public available Monte-Carlo code SOPHIA. Forcalculations of energy spectra of electrons and positrons from the pairproduction (Bethe-Heitler) process we suggest a simple formalism based on thewell-known differential cross-section of the process in the rest frame of theproton. The analytical presentations of energy distributions of photons andleptons provide a simple but accurate approach for calculations of broad-bandenergy spectra of gamma-rays and neutrinos in cosmic proton acceleratorslocated in radiation dominated environments.

Energy spectra of gamma-rays, electrons and neutrinos produced at interactions of relativistic protons with low energy radiation