Testing a new luminosity/redshift indicator for $γ$-ray bursts

Zhi-Bin Zhang; Guang-Zhong Xie

doi:10.1142/s0218271808012966

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arXiv · 0711.1411

Testing a new luminosity/redshift indicator for $γ$-ray bursts

Zhi-Bin Zhang·Guang-Zhong Xie

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Abstract

We have tested a relative spectral lag (RSL) method suggested earlier as a luminosity/redshift (or distance) estimator, using the generalized method by Schaefer & Collazzi. We find the derivations from the luminosity/redshift-RSL (L/R-RSL) relation are comparable with the corresponding observations. Applying the luminosity-RSL relation to two different GRB samples, we find that there exist no violators from the generalized test, namely the Nakar & Piran test and Li test. We also find that about 36 per cent of Schaefer's sample are outliers for the L/R-RSL relation within 1$σ$ confidence level, but no violators at 3$σ$ level within the current precision of L/R-RSL relation. An analysis of several potential outliers for other luminosity relations shows they can match the L/R-RSL relation well within an acceptable uncertainty. All the coincident results seem to suggest that this relation could be a potential tool for cosmological study.

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Zhi-Bin Zhang, Guang-Zhong Xie. 2007-11-09. Testing a new luminosity/redshift indicator for $γ$-ray bursts. https://doi.org/10.1142/s0218271808012966

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