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The propagation of particles accelerated at supernova remnant shocks andescaping the parent remnants is likely to proceed in a strongly non-linearregime, due to the efficient self-generation of Alfv\'en waves excited throughstreaming instability near the sources. Depending on the amount of neutralhydrogen present in the regions around the sites of supernova explosions,cosmic rays may accumulate an appreciable grammage in the same regions and getself-confined for non-negligible times, which in turn results in an enhancedrate of production of secondaries. Here we calculate the contribution to thediffuse gamma-ray background due to the overlap along lines of sight of severalof these extended halos as due to pion production induced by self-confinedcosmic rays. We find that if the density of neutrals is low, the halos canaccount for a substantial fraction of the diffuse emission observed byFermi-LAT, depending on the orientation of the line of sight with respect tothe direction of the Galactic centre.

Diffuse {\gamma}-ray emission from self-confined cosmic rays around Galactic sources