Gamma-Ray Burst Intensity Distributions
Abstract
We use the lag-luminosity relation to calculate self-consistently the redshifts, apparent peak bolometric luminosities L_B, and isotropic energies E_iso for a large sample of BATSE bursts. We consider two different forms of the lag-luminosity relation; for both forms the median redshift for our burst database is 1.6. We model the resulting sample of burst energies with power law and Gaussian distributions, both of which are reasonable models. The power law model has an index of alpha=1.76+/-0.05 (95% confidence) as opposed to the index of alpha=2 predicted by the simple universal jet profile model; however, reasonable refinements to this model permit much greater flexibility in reconciling predicted and observed energy distributions.Keywords
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