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Gamma-Ray Burst Intensity Distributions

David L. Band·Jay P. Norris·Jerry T. Bonnell
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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 gamma-ray 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 E_iso sample with power law and Gaussian probability distributions without redshift evolution, both of which are reasonable models. The power law model has an index of alpha_E=1.76+/-0.05 (95% confidence), where p(E_iso) propto E_iso^(-alpha_E). The simple universal jet profile model suggested but did not require alpha_E=2, and subsequent physically reasonable refinements to this model permit greater diversity in alpha_E, as well as deviations from a power law; therefore our observed E_iso probability distribution does not disprove the universal jet model.

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David L. Band, Jay P. Norris, Jerry T. Bonnell. 2004-05-28. Gamma-Ray Burst Intensity Distributions. https://doi.org/10.1086/422869

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