Images of bursting sources of high-energy cosmic rays: Effects of magnetic fields

It has recently been shown that the highest energy cosmic rays (CRs) may originate in the same cosmological objects that produce gamma-ray bursts. This model requires the presence of an intergalactic magnetic field (IGMF) to delay the arrival times of similar to 10(20) eV CRs by 50 yr or longer relative to the gamma-rays, of an amplitude that is consistent with other observational constraints. Sources of CRs coming from individual bursts should be resolved with the planned ''Auger'' experiment, with as many as hundreds of CRs for the brightest sources. We analyze here the apparent angular and energy distribution of CRs from bright sources below the pion production threshold (in the energy range 10(19) eV < E < 4 x 10(19) eV) expected in this model. This observable distribution depends on the structure of the IGMF: the apparent spectral width Delta E is small, Delta E/E less than or similar to 1%, if the intergalactic field correlation length lambda is much larger than 1 Mpc, and large, Delta E/E = 0.3, in the opposite limit, lambda much less than 1 Mpc. The apparent angular size is also larger for smaller lambda. If the sources of CRs we predict are found, they will corroborate the bursting model and provide us with a technique to investigate the structure of the IGMF.