Constraints on the gamma-ray burst luminosity-duration relationship in the galactic scenario

Mathematics

Scientific paper

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Gamma-Ray Sources, Gamma-Ray Bursts, Mathematical Procedures And Computer Techniques

Scientific paper

We present a method to investigate constraints on the luminosity-duration relationship in the context of galactic models. The observed duration distribution cannot be explained by a one-to-one correspondence between luminosity and duration; a distribution of durations as a function of luminosity is required. We also comment on the preliminary report of a correlation between burst spectrum and spatial distribution. If confirmed, this correlation may provide the first evidence for a finite-width luminosity function in GRBs. Observational parameters derived from this result permit a measurement of a power-law luminosity function slope, as well the relative frequency density of GRBs of the two different spectral types in the analyses.

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