Interaction of fast particles with intergalactic matter.

A discussion is given of the relaxation of power-law cosmic-ray spectra in the intergalactic medium. The theoretical time-dependent spectra obtained are used to calculate the nonthermal radiation produced by bremsstrahlung of subcosmic-ray electrons colliding with ambient protons of the intergalactic gas. A comparison is made between the theory and the observations of the diffuse X-ray and gamma-ray background. The calculated cosmic-ray proton spectra are applied to a computation of the heating of the intergalactic medium, and the resulting thermal bremsstrahlung radiation is compared with the suprathermal proton bremsstrahlung flux. We conclude that nonthermal bremsstrahlung is unlikely to be an important contributor to the isotropic X- and gamma-ray background. However, cosmic-ray heating can provide a plausible heat source for maintaining a hot intergalactic gas, especially when evolutionary effects are included in the distribution of cosmic-ray sources.