2004/03/31 by D. L. Band, David L. Band, J. P. Norris +3
Mathematics · Physics and Astronomy · #Astrophysics #Galaxy #Gamma-ray burst #Gamma-ray bursts and supernovae #Gaussian #Intensity (physics) #Isotropy #Luminosity #Mathematics #Optics #Physics #Power law #Pulsars and Gravitational Waves Research #Quantum mechanics #Redshift #Statistical physics #Statistics #Stellar, planetary, and galactic studies #astro-ph
paper · pdf · doi:10.1086/422869
published as Astrophys.J. 613 (2004) 484-491 · 25 pages, 9 figures, to be published in ApJ, data available at http://cossc.gsfc.nasa.gov/analysis/lags/
arxiv created 2004/05/28 · openalex publication_date 2004/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 α E = 1.76 ± 0.05 (95% confidence), where p ( E iso ) ∝ E . 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 iso probability distribution does not disprove the universal jet model.