Wanderman 2009 伽马暴诞生率随红移的变化

主要内容:
0<3  (1+z)^2
z>3    (1+z)^-1.5

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Title:		The luminosity function and the rate of Swift's gamma-ray bursts
Authors:		Wanderman, David; Piran, Tsvi
Affiliation:		AA(Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel; ), AB(Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel; )
Publication:		Monthly Notices of the Royal Astronomical Society, Volume 406, Issue 3, pp. 1944-1958. (MNRAS Homepage)
Publication Date:		08/2010
Origin:		WILEY
MNRAS Keywords:		gamma-ray burst: general, stars: formation
Abstract Copyright:		(c) Journal compilation © 2010 RAS
DOI:		10.1111/j.1365-2966.2010.16787.x
Bibliographic Code:		2010MNRAS.406.1944W

Abstract

We invert directly the redshift-luminosity distribution of observed long Swift gamma-ray bursts (GRBs) to obtain their rate and luminosity function. Our best-fitting rate is described by a broken power law that rises like for 0 < z < 3 and decreases like for z > 3. The local rate is ρ₀ ~= 1.3^+0.6_-0.7 (Gpc^-3yr^-1). The luminosity function is well described by a broken power law with a break at L* ~= 10^52.5+/-0.2 (ergs^-1) and with indices α = 0.2^+0.2_-0.1 and β = 1.4^+0.3_-0.6. The recently detected GRB090423, with z ~ 8, fits nicely into the model's prediction, verifying that we are allowed to extend our results to high redshifts. While the GRB rate may follow the star formation rate (SFR) for z < 3, the high-redshift slope is shallower than the steep decline in the SFR for 4 < z. However, we cannot rule out a GRB rate that follows one of the recent SFR models.

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