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We present a model of ultra-high-energy cosmic ray (UHECR) production in theshock-accelerated fireball of a gamma-ray burst. In addition to the standardUHECR origin from neutron escape and decay into protons, our model considersdirect proton emission through leakage from the edges of the acceleratedbaryon-loaded shells that make up the fireball. Depending on the opticalthickness of the shells to photohadronic interactions, the source falls in oneof three scenarios: the usual, optically thin source dominated by neutronescape, an optically thick source to neutron escape, or a "direct escape"scenario, where the main contribution to UHECRs comes from the leaked protons.The associated neutrino production will be different for each scenario, and wesee that the standard "one neutrino per cosmic ray" assumption is valid only inthe optically thin case, while more than one neutrino per cosmic ray isexpected in the optically thick scenario. In addition, the extra direct escapecomponent enhances the high-energy part of the UHECR flux, thus improving theagreement between the predictions and the observed flux.

Escape and propagation of UHECR protons and neutrons from GRBs, and the cosmic ray-neutrino connection