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Constraining the Structure of Gamma‐Ray Burst Jets through the logN–logSDistribution

2005
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Astrophysical Journal
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A general formalism is developed for calculating the luminosity function and the expected number $N$ of observed GRBs above a peak photon flux $S$ for any GRB jet structure. This new formalism directly provides the true GRB rate without the need for a 'correction factor'. We apply it to the uniform jet (UJ) and universal structured jet (USJ) models for the structure of GRB jets and perform fits to the observed log(N)-log(S) distribution from the GUSBAD catalog which contains 2204 BATSE bursts.

doi:10.1086/426664
fatcat:djyxgvlwuzf6rownixq6gwjstu