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The Observed Offset Distribution of Gamma-Ray Bursts from Their Host Galaxies: A Robust Clue to the Nature of the Progenitors

J. S. BloomPalomar Observatory, 105-24, California Institute of Technology, Pasadena, CA 91125S. R. KulkarniPalomar Observatory, 105-24, California Institute of Technology, Pasadena, CA 91125S. G. DjorgovskiPalomar Observatory, 105-24, California Institute of Technology, Pasadena, CA 91125
2002en
ABI

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We present a comprehensive study to measure the locations of γ-ray bursts (GRBs) relative to their host galaxies. In total, we find the offsets of 20 long-duration GRBs from their apparent host galaxy centers utilizing ground-based images from Palomar and Keck and space-based images from the Hubble Space Telescope (HST). We discuss in detail how a host galaxy is assigned to an individual GRB and the robustness of the assignment process. The median projected angular (physical) offset is 0.17 arcsec (1.3 kpc). The median offset normalized by the individual host half-light radii is 0.98 suggesting a strong connection of GRB locations with the UV light of their hosts. This provides strong observational evidence for the connection of GRBs to star-formation. We further compare the observed offset distribution with the predicted burst locations of leading stellar-mass progenitor models. In particular, we compare the observed offset distribution with an exponential disk, a model for the location of collapsars and promptly bursting binaries (e.g. helium star–black hole binaries). The statistical comparison shows good agreement given the simplicity of the model, with the Kolmogorov-

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