GammaRay bursts: Energetics and Prompt Correlations
Abstract
A model is presented here that is capable of simultaneously describing the luminosity function and the underlying joint population distribution of the prompt spectral and temporal parameters of GammaRay Bursts (GRBs), subject to the detection threshold of gammaray instrumentsin particular, BATSE and Fermi. Based on 2130 GRB prompt emission data in the BATSE catalog, I show that the population properties of the two classes of GRBs  Long and Short durations  bear striking similarities in the 4dimensional space of prompt parameters: peak luminosity (Liso), total isotropic emission (Eiso), timeintegrated spectral peak energy (Ep,z) and the prompt duration (T90,z). The two wellknown Amati (EisoEp,z) and Yonetoku (LisoEp,z) relations are shown to be highly affected by selection effects, undermining the legitimacy of their frequent uses in the studies of Dark Energy's equation of state and different cosmological models. In particular, I show that the slope of the Amati relation is likely in the range 0.20.3, corresponding to a Pearson's correlation strength of rho=0.58\pm0.04. This predicted slope is significantly (>16sigma) less than the value currently perceived by the GRB community (~0.56). I argue that similar EisoEp,z and LisoEp,z relations with approximately same strength and significance should exist in the population of Short GRBs. Also predicted by the model is the strong positive correlation of the prompt emission duration (e.g., T90,z) with Eiso and Liso in both classes of Short and Long GRBs.
 Publication:

arXiv eprints
 Pub Date:
 August 2013
 arXiv:
 arXiv:1308.1097
 Bibcode:
 2013arXiv1308.1097S
 Keywords:

 Astrophysics  High Energy Astrophysical Phenomena;
 Astrophysics  Cosmology and Nongalactic Astrophysics;
 Physics  Data Analysis;
 Statistics and Probability
 EPrint:
 7th Huntsville GammaRay Burst Symposium, GRB 2013: paper 14 in eConf Proceedings C1304143