Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-11-13
Mon.Not.Roy.Astron.Soc.393:1010-1015,2009
Astronomy and Astrophysics
Astrophysics
6 pages, to appear in MNRAS
Scientific paper
10.1111/j.1365-2966.2008.14240.x
We investigate the possibility that the E_p propto E_gamma^{1/2} relation between the peak energy E_p of the nuF_nu spectrum and energy output E_gamma for long-duration 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 E_gamma on the radial distribution of the ambient medium density and find that the E_p-E_gamma 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 constant mass-loss rate and terminal speed.
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