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Astrophysics and Space Science

, Volume 351, Issue 1, pp 267–279 | Cite as

Revisiting the Amati and Yonetoku correlations with Swift GRBs

  • H. ZitouniEmail author
  • N. Guessoum
  • W. J. Azzam
Original Article

Abstract

We use a sample of Swift gamma-ray bursts (GRBs) to analyze the Amati and Yonetoku correlations. The first relation is between E p,i , the intrinsic peak energy of the prompt GRB emission, and E iso , the equivalent isotropic energy. The second relation is between E p,i and L iso , the isotropic peak luminosity. We select a sample of 71 Swift GRBs that have a measured redshift and whose observed \(E^{obs}_{p}\) is within the interval of energy 15–150 keV with a relative uncertainty of less than 70 %. We seek to find correlation relations for long-duration GRBs (LGRBs) with a peak photon flux P ph ≥2.6 ph/cm2/s. Uncertainties (error bars) on the values of the calculated energy flux P, the energy E iso , and the peak isotropic luminosity L iso are estimated using a Monte Carlo approach. We find 27 Swift LGRBs that satisfy all our constraints. Results of our analyses of the sample of 71 GRBs and the selected subsample (27 GRBs) are in good agreement with published results. The plots of the two relations for all bursts show a large dispersion around the best straight lines in the sample of 71 LGRBs but not so much in the subsample of 27 GRBs.

Keywords

Gamma-rays: bursts Methods: statistical 

Notes

Acknowledgements

The authors gratefully acknowledge the use of the online Swift/BAT table compiled by Taka Sakamoto and Scott D. Barthelmy. We thank the referee for constructive comments, which led us to clarify some aspects of the paper.

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Faculté des SciencesUniversité Dr Yahia FaresMédéaAlgeria
  2. 2.Department of Physics, College of Arts & SciencesAmerican University of SharjahSharjahUAE
  3. 3.Department of Physics, College of ScienceUniversity of BahrainZallaqBahrain

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