GRBs have preferred jet opening angles and bulk Lorentz factors

الأصل · EN

We recently found that Gamma Ray Burst energies and luminosities, in their comoving frame, are remarkably similar. This, coupled with the clustering of energetics once corrected for the collimation factor, suggests the possibility that all bursts, in their comoving frame, have the same peak energy E'peak (of the order of a few keV) and the same energetics of the prompt emission E'gamma (of the order of 2e48 erg). The large diversity of bursts energies is then due to the different bulk Lorentz factor Gamma and jet aperture angle thetaⱼet. We investigated, through a population synthesis code, what are the distributions of Gamma and thetaⱼet compatible with the observations. Both quantities must have preferred values, with log-normal best fitting distributions and <Gamma0> 275 and <θⱼet> 8.7 degree. Moreover, the peak values of the Gamma and thetaⱼet distributions must be related - thetaⱼet².5 Gamma =const: the narrower the jet angle, the larger the bulk Lorentz factor. We predict that 6% of the bursts that point to us should not show any jet break in their afterglow light curve since they have sin(thetaⱼet)<1/Gamma. Finally, we estimate that the local rate of GRBs is 0.3% of all local SNIb/c and 2.5% of local hypernovae, i.e. SNIb/c with broad absorption lines.