Yu 2009 伽马暴的光度统计关系

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一个系统的统计方法，可以应用到别的物理量上去。

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Title:		Gamma-ray Burst Luminosity Relations: Two-Dimensional Versus Three-Dimensional Correlations
Authors:		Yu, Bo; Qi, Shi; Lu, Tan
Affiliation:		AA(Department of Physics, Nanjing University, Nanjing 210093, China ; Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing University-Purple Mountain Observatory, Nanjing 210093, China), AB(Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China ; Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing University-Purple Mountain Observatory, Nanjing 210093, China), AC(Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing 210008, China ; Joint Center for Particle, Nuclear Physics and Cosmology, Nanjing University-Purple Mountain Observatory, Nanjing 210093, China)
Publication:		The Astrophysical Journal Letters, Volume 705, Issue 1, pp. L15-L19 (2009). (ApJL Homepage)
Publication Date:		11/2009
Origin:		IOP
ApJ Keywords:		gamma rays: bursts
DOI:		10.1088/0004-637X/705/1/L15
Bibliographic Code:		2009ApJ...705L..15Y

Abstract

The large scatters of luminosity relations of gamma-ray bursts (GRBs) have been one of the most important reasons that prevent the extensive applications of GRBs in cosmology. In this paper, we extend the two-dimensional (2D) luminosity relations with τ_lag, V, E _peak, and τ_RT as the luminosity indicators to three dimensions (3D) using the same set of luminosity indicators to explore the possibility of decreasing the intrinsic scatters. We find that, for the 3D luminosity relations between the luminosity and an energy scale (E _peak) and a timescale (τ_lag or τ_RT), their intrinsic scatters are considerably smaller than those of corresponding 2D luminosity relations. Enlightened by the result and the definition of the luminosity (energy released in units of time), we discussed possible reasons behind this result, which may give us helpful suggestions on seeking more precise luminosity relations for GRBs in the future.

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