Fermi Acceleration at Ultra-Relativistic Shocks and Gamma-ray Burst and Afterglow Spectra

Astronomy and Astrophysics – Astrophysics

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Scientific paper

We consider Fermi acceleration at the ultra-relativistic shock fronts which occur in relativistic fireballs as a mechanism for accelerating the particles responsible for the power-law emission of gamma-ray bursts and their afterglows. We consider both regular deflection by a large-scale magnetic field and small-angle scattering due to magnetic fluctuations. We compute the average energy gain per shock crossing and the spectral index of the resulting particle distribution using test particle simulations. We determine the upper cutoff of the electron energy distribution from geometric, time scale and radiative loss limitations on this acceleration process, and relate our results to the observed spectral properties of gamma-ray bursts and afterglows.

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