Abstract
An analysis of the interaction between a spherical relativistic blast-wave shell and a stationary cloud with a spherical cap geometry is performed assuming that the cloud width 0, where Delta_0 + eta x/Gamma_0^2 is the blast-wave shell width), and perhaps in the thin-shell approximation (eta ~ 1/Gamma_0), but not when eta ~ 1. If this approximation is valid, then external shock processes could make the dominant prompt and afterglow emissions in GRB light curves, consistent with short delay two-step collapse models for GRBs.
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