Lv, Jing 2011 Gamma0--Liso关系重访

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Title:		Lorentz Factor-Isotropic Luminosity/Energy Correlations of GRBS and Their Interpretation
Authors:		Lv, Jing; Zou, Yuan-Chuan; Lei, Wei-Hua; Zhang, Bing; Wu, Qing-Wen; Wang, Ding-Xiong; Liang, En-Wei; Lv, Hou-Jun
Publication:		eprint arXiv:1109.3757
Publication Date:		09/2011
Origin:		ARXIV
Keywords:		Astrophysics - High Energy Astrophysical Phenomena
Comment:		8 pages, including 1 table and 2 figures
Bibliographic Code:		2011arXiv1109.3757L

Abstract

The bulk Lorentz factor of the gamma-ray burst (GRB) ejecta (Gamma_0) is a key parameter to understand the GRB physics. Liang et al. have discovered a correlation between Gamma_0 and isotropic gamma-ray energy: Gamma_0\proptoE_{gamma,iso,52}^{0.25}. By including more GRBs with updated data and more methods to derive Gamma_0, we confirm this correlation and obtain Gamma_0~118E_{gamma,iso,52}^{0.26}. Evaluating the mean isotropic gamma-ray luminosities L_{gamma,iso} of the GRBs in the same sample, we discover an even tighter correlation Gamma_0~264 L_{gamma,iso,52}^{0.27}. We propose an interpretation to this later correlation. Invoking a neutrino-cooled hyperaccretion disk around a stellar mass black hole as the central engine of GRBs, we derive jet luminosity powered by neutrino annihilation and baryon loading from a neutrino-driven wind. Applying beaming correction, we finally derive Gamma_0\proptoL_{gamma,iso}^{0.22}, which is well consistent with the data. This suggests that the central engine of long GRBs is likely a stellar mass black hole surrounded by a hyper-accreting disk.

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