Boçi, S. 2011 time lag，时标-光度的统计关系

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Title:		The lag and duration-luminosity relations of gamma-ray burst pulses
Authors:		Boçi, S.; Hafizi, M.; Mochkovitch, R.
Affiliation:		AA(Tirana University, Faculty of Natural Sciences, Tirana, Albania), AB(Tirana University, Faculty of Natural Sciences, Tirana, Albania), AC(Institut d'Astrophysique de Paris, UMR 7095 Université Pierre et Marie Curie-Paris 6 - CNRS, 98bis boulevard Arago, 75014 Paris, France mochko@iap.fr)
Publication:		Astronomy and Astrophysics, Volume 519, id.A76 (A&A Homepage)
Publication Date:		09/2010
Origin:		EDP Sciences
Astronomy Keywords:		gamma-rays bursts: general, radiation mechanisms: non-thermal
DOI:		10.1051/0004-6361/201014132
Bibliographic Code:		2010A&A...519A..76B

Abstract

Context. Relations linking the temporal or/and spectral properties of the prompt emission of gamma-ray bursts (hereafter GRBs) to the absolute luminosity are of great importance as they both constrain the radiation mechanisms and represent potential distance indicators. Here we discuss two such relations: the lag-luminosity relation and the newly discovered duration-luminosity relation of GRB pulses. 
Aims: We aim to extend our previous work on the origin of spectral lags, using the duration-luminosity relation recently discovered by Hakkila et al. (2008, ApJ, 677, L81) to connect lags and luminosity. We also present a way to test this relation which has originally been established with a limited sample of only 12 pulses. 
Methods: We relate lags to the spectral evolution and shape of the pulses with a linear expansion of the pulse properties around maximum. We then couple this first result to the duration-luminosity relation to obtain the lag-luminosity and lag-duration relations. We finally use a Monte-Carlo method to generate a population of synthetic GRB pulses which is then used to check the validity of the duration-luminosity relation. 
Results: Our theoretical results for the lag and duration-luminosity relations are in good agreement with the data. They are rather insensitive to the assumptions regarding the burst spectral parameters. Our Monte Carlo analysis of a population of synthetic pulses confirms that the duration-luminosity relation must be satisfied to reproduce the observational duration-peak flux diagram of BATSE GRB pulses. 
Conclusions: The newly discovered duration-luminosity relation offers the possibility to link all three quantities: lag, duration and luminosity of GRB pulses in a consistent way. Some evidence for its validity have been presented but its origin is not easy to explain in the context of the internal shock model.

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