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A&A 472, L29-L32 (2007)
DOI: 10.1051/0004-6361:20078028
Letter
Luminosity functions of gamma-ray burst afterglows
G. Jóhannesson, G. Björnsson, and E. H. GudmundssonScience Institute, University of Iceland, Dunhaga 3, 107 Reykjavik, Iceland
e-mail: gudlaugu@raunvis.hi.is
(Received 6 June 2007 / Accepted 12 July 2007 )
Abstract
Aims.Use the standard fireball model to create virtual populations of
gamma-ray burst afterglows and study their luminosity functions.
Methods.We
randomly vary the parameters of the standard fireball model to create
virtual populations of afterglows. We use the luminosity of each burst at an
observer's time of 1 day to create a luminosity function and compare
our results with available observational data to assess the internal
consistency of the standard fireball model.
Results.We
show that the luminosity functions can be described by a function similar to a
log normal distribution with an exponential cutoff. The function
parameters are frequency dependent but not very dependent on the model
parameter distributions used to create the virtual populations.
Comparison with
observations shows that while there is good general agreement with the
data, it is difficult to explain simultaneously the X-ray and
optical data. Possible reasons for this are discussed and the
most likely one is that the standard
fireball model is incomplete and that decoupling of the X-ray and optical
emission mechanism may be needed.
Key words: gamma rays: bursts -- gamma rays: theory -- methods: numerical
© ESO 2007
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