http://arxiv.org/abs/1603.03223
During their propagation through intergalactic space, ultrahigh energy cosmic rays (UHECRs) interact with the background radiation fields. These interactions give rise to energetic electron/positron pairs and photons which in turn feed electromagnetic cascades, resulting in a diffuse gamma-ray background radiation. The gamma-ray flux level generated in this way highly depends upon the UHECR propagation distance, as well as the evolution of their sources with redshift. Recently, the \fermi collaboration has reported that the majority of the total extragalactic gamma-ray flux originates from extragalactic point sources. This posits a stringent upper limit on the diffuse gamma-ray flux generated via UHECR propagation, and subsequently constrains their abundance in the distant Universe. Focusing on the contribution of UHECR at energies below the ankle within a narrow energy band ($(1-4)\times 10^{18}$eV), we calculate the diffuse gamma-ray flux generated through UHECR propagation, normalizing the total cosmic ray energy budget in this band to the measured flux. We find that in order to not overproduce the cascade gamma-ray flux, a local “fog” of UHECR produced by nearby sources must exist, with a possible non-negligible contribution from our Galaxy. Following the assumption that a given fraction of the observed IGRB at 820GeV originates from UHECR, we obtain a constraint on the maximum distance for the majority of their sources. With UHECR above the ankle invariably also contributing to the diffuse gamma-ray backgound, the results presented here are conservative.
R. Liu, A. Taylor, X. Wang, et. al.
Fri, 11 Mar 16
46/59
Comments: 5 pages, 2 figures, comments are welcome
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