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Peak Luminosity-Spectral Lag Relation Caused by the Viewing Angle of the Collimated Gamma-Ray Bursts

By Kunihito Ioka and Takashi Nakamura

Abstract

We compute the kinematical dependence of the peak luminosity, the pulse width and the spectral lag of the peak luminosity on the viewing angle θv of a jet. For appropriate model parameters we obtain the peak luminosity-spectral lag relation similar to the observed one including GRB980425. A bright (dim) peak with short (long) spectral lag corresponds to a jet with small (large) viewing angle. This suggests that the viewing angle of the jet might cause various relations in GRBs such as the peak luminosity-variability relation and the luminosity-width relation. Our model also suggests that X-ray rich GRBs (or X-ray flushes or Fast X-ray transients) are typical GRBs observed from large θv with large spectral lag and low variability

Year: 2001
OAI identifier: oai:CiteSeerX.psu:10.1.1.315.7015
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