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Can all breaks in gamma-ray burst afterglows be explained by jet effects?
Authors:D M Wei  T Lu
Institution:Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210008, China,; National Astronomical Observatories, Chinese Academy of Sciences, China,; Department of Astronomy, Nanjing University, Nanjing, 210093, China and; Laboratory for Cosmic-Ray and High-Energy Astrophysics, Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China
Abstract:Whether gamma-ray bursts are highly beamed or not is a very important question, as it has been pointed out that the beaming will lead to a sharp break in the afterglow light curves during the ultrarelativistic phase, with the breaking point determined by  Γ~1/ θ 0  , where Γ is the bulk Lorentz factor and θ 0 is the initial half opening angle of the ejecta, and such a break is claimed to be present in the light curves of some GRBs. In this paper we will examine whether all the observed breaks in GRB afterglow light curves can be explained by jet effects. Here we present a detailed calculation of the jet evolution and emission, and have obtained a simple formula of bulk Lorentz factor evolution. We show that the light curves are very smoothly steepened by jet effect, and the shape of the light curve is determined by only one parameter –     , where E and n are the fireball energy and surrounding medium density, respectively. We find that for GRB 990123 and GRB 991216, the jet model can approximately fit their light curves, and the values of     are about 0.17 and 0.22, respectively. On the other hand, the light curves of GRB 990510, GRB 000301c, GRB 000926 and GRB 010222 cannot be fitted by the jet model, which suggests that the breaks may be caused by some other reasons, and the jet effect should be not the unique reason.
Keywords:shock waves  ISM: jets and outflows  gamma-rays: bursts
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