论文标题
伽马射线爆发的光度选择
Luminosity Selection for Gamma Ray Burst
论文作者
论文摘要
存在伽马射线爆发（GRB）的内在光度中不可避免的散射。如果源中有相对论的光束，则视角变化必定会引入内在光度函数（ILF）的变化。散射在ILF中会导致选择偏差，其中检测到的远处的源具有比附近检测到的偏差更大的亮度。中位发光度将任何给定的人群分为相等的一半。当分布的功能形式尚不清楚时，它可能比使用试验功能形式的任何诊断更强大。在这项工作中，我们采用了基于中位光度的统计测试，并将其应用于测试GRB的一类模型。我们假设GRB喷气机具有有限的开头，并且GRB喷气机的方向与观察者相对于观察者是随机的。我们通过经过经验，理论上模拟GRBS来计算$ L_ {中位数} $作为Redshift的函数，并使用亮度和使用亮度vs redshift vs redshift {\ itswift}数据以与对象进行比较。 该方法解释了以下事实：在某些红移，可能会有一些未被发现的GRB。我们发现$ l_ {中值} $对射流的轴（即最大）光度非常不敏感。
There exists an inevitable scatter in intrinsic luminosity of Gamma Ray Bursts(GRBs). If there is relativistic beaming in the source, viewing angle variation necessarily introduces variation in the intrinsic luminosity function (ILF). Scatter in the ILF can cause a selection bias where distant sources that are detected have a larger median luminosity than those detected close by. Median luminosity divides any given population into equal halves. When the functional form of a distribution is unknown, it can be a more robust diagnostic than any that use trial functional forms. In this work we employ a statistical test based on median luminosity and apply it to test a class of models for GRBs. We assume that the GRB jet has a finite opening angle and that the orientation of the GRB jet is random relative to the observer.We calculate $L_{median}$ as a function of redshift by simulating GRBs empirically, theoretically and use the luminosity vs redshift {\it Swift} data in order to compare the theoretical results with the observed ones. The method accounts for the fact that at some redshifts there may be some GRBs that go undetected. We find that $L_{median}$ is extremely insensitive to the on-axis (i.e. maximal) luminosity of the jet.
