SIMBAD references

We use the lag-luminosity relation to calculate self-consistently the redshifts, apparent peak bolometric luminosities L_B, and isotropic energies E_isofor 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_isosample with power-law and Gaussian probability distributions without redshift evolution, both of which are reasonable models. The power-law model has an index of α_E=1.76±0.05 (95% confidence), where p(E_iso)∝E^–αE_iso. The simple universal jet profile model suggested but did not require α_E=2, and subsequent physically reasonable refinements to this model permit greater diversity in α_E, as well as deviations from a power law; therefore, our observed E_isoprobability distribution does not disprove the universal jet model.