High-Energy Cosmic Rays from Gamma-Ray Bursts

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

A model is presented for the origin of cosmic rays (CRs) from ˜ 1014 eV to the highest energies, > 1020 eV. Gamma-Ray Bursts (GRBs) are assumed to inject CR protons and ions into the interstellar medium of star-forming galaxies--including the Milky Way--with a power law spectrum extending to a maximum energy ˜ 1020 eV. The CR spectrum near the ``knee" is fit with CRs trapped in the Galactic halo that were injected by an earlier Galactic GRB. These CRs diffuse in the disk and halo of the Galaxy due to gyroresonant pitch-angle scattering with MHD turbulence in the Galaxy's magnetic field. The preliminary (2001) KASCADE data are fit by a model with energy-dependent propagation of CR ions from a single Galactic GRB. Ultra-high energy CRs (UHECRs), with energies above the ``ankle" are assumed to propagate rectilinearly with their spectrum modified by photo-pion, photo-pair, and expansion losses. We fit the measured UHECR spectrum assuming comoving luminosity densities of GRBs that follow extremes of the possible star formation rate histories of the universe. For injection spectra p>2, we find that the required local GRB luminosity density in non-thermal hadrons must be a factor 60-200 greater than that measured in gamma-rays. This result implies that 100 TeV-100 PeV neutrinos could be detected several times per year from individual GRBs in kilometer-scale neutrino telescopes such as IceCube.

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