The hardness-intensity correlation and the spatial distribution of GRBs

Mathematics – Logic

Scientific paper

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Gamma-Ray Sources, Gamma-Ray Bursts, Gamma-Ray

Scientific paper

We demonstrate the presence of a hardness-intensity correlation (HIC) in a sample of 77 bright GRBs detected by Phebus/GRANAT and the Ulysses GRB detector. Using simulations, we find that the peak spectral hardness and the peak intensity in Phebus are correlated at a 5 σ confidence level. This significant correlation is associated with a =0.5 in Ulysses. These two results together imply several constraints on the spatial distribution of bursters. In a cosmological scenario, the apparent contradiction between the presence of a HIC, requiring high redshifts, and =0.5, characteristic of nearby bursters, can be resolved by assuming a density evolution of sources. In this case our calculations show that the typical bright sources observed by Phebus and Ulysses should be at zmax~2-3 to explain the strength of the hardness-intensity correlation.

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