Neutrino, Neutron, and Cosmic Ray Production in the External Shock Model of Gamma Ray Bursts

The hypothesis that ultra-high energy (& 1019 eV) cosmic rays (UHECRs) are accelerated by gamma-ray burst (GRB) blast waves is assumed to be correct. Implications of this assumption are then derived for the external shock model of gamma-ray bursts. The evolving synchrotron radiation spectrum in GRB blast waves provides target photons for the photomeson production of neutrinos and neutrons. Decay characteristics and radiative efficiencies of the neutral particles that escape from the blast wave are calculated. The diffuse high-energy GRB neutrino background and the distribution of high-energy GRB neutrino events are calculated for specific parameter sets, and a scaling relation for the photomeson production efficiency in surroundings with different densities is derived. GRBs provide an intense flux of high-energy neutrons, with neutron-production efficiencies exceeding ∼ 1% of the total energy release. The radiative characteristics of the neutron β-decay electrons from the GRB “neutron bomb” are solved in a special case. Galaxies with GRB activity should be surrounded by radiation halos of ∼ 100 kpc extent from the outflowing neutrons, consisting of a nonthermal optical/X-ray synchrotron component and a high-energy gamma-ray component from Compton-scattered microwave background radiation. The peak luminosity emitted by the diffuse β-electron halo from a single GRB with & 2 × 1053 ergs isotropic energy release is ∼ 1035 ergs s−1, with a potentially much brighter signal from the neutron-decay protons. The decay halo from a single GRB can persist for & 0.1-1 Myr. Stronger neutrino fluxes and neutron decay halos can be produced by external shocks in clumpy external media and in scenarios involving internal shock scenarios, so detection of neutrinos associated with smooth-profile GRBs could rule out an implusive GRB central engine and an external shock model for the prompt phase. The luminosity of sources of GRBs and relativistic outflows in L∗ galaxies such as the Milky Way is at the level of ∼ 1040±1 ergs s−1. This is sufficient to account for UHECR generation by GRBs. We briefly speculate on the possibility that hadronic cosmic rays originate from the subset of supernovae that collapse to form relativistic outflows and GRBs.