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An external-shock origin of the     relation for gamma-ray bursts
Authors:A Panaitescu
Institution:Space Science and Applications, MS D466, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
Abstract:We investigate the possibility that the     relation between the peak energy E p of the  ν F ν  spectrum and energy output     for long-duration gamma-ray bursts (GRBs) arises from the external shock produced by the interaction of a relativistic outflow with the ambient medium. To that aim, we take into account the dependence of all parameters which determine E p and     on the radial distribution of the ambient medium density and find that the     relation can be explained if the medium around GRBs has a universal radial stratification. For various combinations of GRB radiative process (synchrotron or inverse-Compton) and dissipation mechanism (reverse or forward shock), we find that the circumburst medium must have a particle density with a radial distribution different than the   R ?2  expected for the stellar wind corresponding to a constant mass-loss rate and terminal speed.
Keywords:radiation mechanisms: non-thermal  shock waves  gamma-rays: bursts
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