Jóhannesson 2007 标准模型下伽玛暴余辉的光度函数

主要内容:
以标准模型为基础，通过变动参数，计算伽玛暴余辉的光度函数（1day时的）. 发现光度函数的分布于参数的分布无关，跟频率关系大一些。同时发现X射线和光学同时考虑的话，难与观测 吻合（这个好像直接对单个的暴进行拟合就知道了吧）。

精彩摘抄:
参数的取值范围
光度函数（某光度上分布的暴的数目），黑色－X射线，蓝色－光学，红色－射电。


文章信息:

arXiv:0707.3432 [ps, pdf, other]

Title: Luminosity Functions of Gamma-Ray Burst Afterglows

Authors: Guðlaugur Jóhannesson, Gunnlaugur Björnsson, Einar H. Gudmundsson

Comments: 5 pages, 4 figures; accepted for publication in A&A

Subjects: Astrophysics (astro-ph)

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.