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Factor analysis of the long gamma-ray bursts

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 Added by Zsolt Bagoly
 Publication date 2008
  fields Physics
and research's language is English




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We study statistically 197 long gamma-ray bursts, detected and measured in detail by the BATSE instrument of the Compton Gamma-Ray Observatory. In the sample 10 variables, describing for any burst the time behavior of the spectra and other quantities, are collected. The factor analysis method is used to find the latent random variables describing the temporal and spectral properties of GRBs. The application of this particular method to this sample indicates that five factors and the $REpk$ spectral variable (the ratio of peak energies in the spectrum) describe the sample satisfactorily. Both the pseudo-redshifts inferred from the variability, and the Amati-relation in its original form, are disfavored.



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It is known that the soft tail of the gamma-ray bursts spectra show excesses from the exact power-law dependence. In this article we show that this departure can be detected in the peak flux ratios of different BATSE DISCSC energy channels. This effect allows to estimate the redshift of the bright long gamma-ray bursts in the BATSE Catalog. A verification of these redshifts is obtained for the 8 GRB which have both BATSE DISCSC data and measured optical spectroscopic redshifts. There is good correlation between the measured and esti redshifts, and the average error is $Delta z approx 0.33$. The method is similar to the photometric redshift estimation of galaxies in the optical range, hence it can be called as gamma photometric redshift estimation. The estimated redshifts for the long bright gamma-ray bursts are up to $z simeq 4$. For the the faint long bursts - which should be up to $z simeq 20$ - the redshifts cannot be determined unambiguously with this method.
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