基于Beaming模型的γ暴统计分析

本文假定γ暴来自相对论性Beaming，其方向满足随机分布，γ暴在自己的静止参考系中满足标准烛光和幂律谱假设．假设暴的发生率密度在Ω＝1，A＝0的Friedmann宇宙模型下，共动坐标系中是常数,模型对于Beaming的速度非常敏感,当络仑兹因子г值小于10幂律谱指数小于1时，计算的统计分布与弱暴的BATSE数据及强暴的PVO数据分布一致．

Statistical Analysis of Gamma-Ray Bursts Based on Beaming Model

Statistical properties of Gamma-ray bursts are analyzed assuming that the bursts with non-thermal, rapidly varying spectra are from relativistic beaming if the bursts are cosmological. The model assumes that all of the bursts are standard candles with identical power-law spectra in their initial systems and the directions of beaming are random in the comoving system and the burst rate,is assumed to be constant per unit comoving volume per unit comoving cosmological time in a Friedmann universe with n = 1 and A = 0. This model is very sensitive to the velocity of beaming. The calculated distribution of burst illtensities is consistent with that found by the BATSE experiment for the weak events and by PVO for the strong events when the Lorentz factor of beaming is lower than 1o and the exponent of power-law is less than 1.