2004
DOI: 10.1086/421285
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Gamma‐Ray Burst Formation Rate Inferred from the Spectral Peak Energy–Peak Luminosity Relation

Abstract: We estimate a gamma-ray burst (GRB) formation rate based on the new relation between the spectral peak energy (E p ) and the peak luminosity. The new relation is derived by combining the data of E p and the peak luminosities by BeppoSAX and BATSE, and it looks considerably tighter and more reliable than the relations suggested by the previous works. Using the new E p -luminosity relation, we estimate redshifts of the 689 GRBs without known distances in the BATSE catalog and derive a GRB formation rate as a fun… Show more

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Cited by 699 publications
(927 citation statements)
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References 44 publications
(110 reference statements)
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“…Much of the efforts so far has mainly focused on brightness-hardness types of relations, such as the Amati relation (Eiso − Ep,z) and the Yonetoku relation (Liso − Ep,z). Currently, the general consensus is that these relations do exist with high significance (e.g., Butler, Bloom & Poznanski 2010;Shahmoradi 2013b), but with far less strength than the original findings of Amati et al (2002) and Yonetoku et al (2004). In addition to early hints on the potential existence of duration-brightness relations (e.g., Horvath et al 2005), recently Butler, Bloom & Poznanski (2010) also found, through an elaborate and comprehensive analysis of Swift data, some tentative signatures of a significant positive correlation between the intrinsic duration and the total isotropic emission of LGRBs.…”
Section: Temporal and Spectral Correlationsmentioning
confidence: 98%
“…Much of the efforts so far has mainly focused on brightness-hardness types of relations, such as the Amati relation (Eiso − Ep,z) and the Yonetoku relation (Liso − Ep,z). Currently, the general consensus is that these relations do exist with high significance (e.g., Butler, Bloom & Poznanski 2010;Shahmoradi 2013b), but with far less strength than the original findings of Amati et al (2002) and Yonetoku et al (2004). In addition to early hints on the potential existence of duration-brightness relations (e.g., Horvath et al 2005), recently Butler, Bloom & Poznanski (2010) also found, through an elaborate and comprehensive analysis of Swift data, some tentative signatures of a significant positive correlation between the intrinsic duration and the total isotropic emission of LGRBs.…”
Section: Temporal and Spectral Correlationsmentioning
confidence: 98%
“…If this is true for all GRBs, it could be possible to use the observer-frame normalization of the relation to estimate the redshifts of GRBs that do not have one measured by other means. This estimation of redshift differs from that of the so-called Amati and Yonetoku relations (Amati et al 2002;Yonetoku et al 2004). These relations rely on the time-integrated properties of GRBs and most likely result from the effects of functional correlation (Massaro et al 2007) and selection effects (Kocevski 2012).…”
Section: Introductionmentioning
confidence: 66%
“…The high and low energy spectral indices are given by -2.25 and -1, respectively. The spectral peak energy in the source frame can be derived by the Yonetoku relation (Yonetoku et al 2004)…”
Section: The Modelmentioning
confidence: 99%