2005/04/03 by D. Xu, Xu, D.
Mathematics · Physics and Astronomy · #Astronomy and Astrophysical Research #Astrophysics (astro-ph) #FOS: Physical sciences #Gamma-ray bursts and supernovae #Statistical and numerical algorithms #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/0504052
10 pages, 1 table, 2 figures, GRB041006 added, the data about GRB050525a updated, and main conclusions unchanged; the GRB dataset is also available at http://astronomy.nju.edu.cn/~xud/
openalex publication_date 2005/04/03 · arxiv created 2005/08/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the well-measured spectral and energetic properties of 20 gamma-ray bursts (GRBs) in their cosmological rest frames. We find a tight relation between the isotropic-equivalent gamma-ray energy Eiso, the local peak energy E'p of the νFν spectrum, and the local break time t'b of the GRB afterglow light curve, which reads Eiso*t'b∝ E'p1.95±0.08 (χ2ν=1.40; OmegaM=0.27, OmegaLambda=0.73). Such a power-law relation can be understood via the high-energy radiation processes for the GRB prompt emission accompanying the beaming effects. We then consider this relation as an intrinsic one for the observed GRB sample, and obtain a constraint on the mass density OmegaM=0.24+0.16-0.12 (1σ) for a flat Lambda-CDM universe, and a χ2dof=1.33 for OmegaM≈0.3 and OmegaLambda≈0.7. Ongoing GRB observations in the Swift era are expected to confirm this relation and make its cosmological utility progress much.