Revisiting the event rate of short GRBs and estimating their detectable number within the Advanced LIGO horizon

作     者：Hao-Yang Liu Yun-Wei Yu 

作者机构：Institute of Astrophysics Central China Normal University 

出 版 物：《Research in Astronomy and Astrophysics》 (天文和天体物理学研究（英文版）)

年 卷 期：2019年第19卷第8期

页      面：123-130页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11473008, 11822302 and 11833003) the Fundamental Research Funds for the Central Universities(Grant No. CCNU18ZDPY06) 

主　　题：gamma-ray burst:general luminosity function stars:neutron 

摘      要：The redshift and luminosity distributions of 36 Swift short gamma-ray bursts(GRBs) are fitted by connecting their event rates with cosmic star formation rates using power-law distributed delay times f(τ) ∝τ-1, where a broken-power-law luminosity function is assumed and some empirical observational selection effects are taken into account. As a result, the most-likely model parameters are constrained to be ν1 = 0.91, ν2 = 1.66 as power-law indices, with a break at Lb= 2.51 × 1051 erg s-1 for the luminosity function and τc= 6.0 Gyr for a typical gravitational wave decay timescale of the binary orbit. The corresponding local rate of short GRBs is found to be 3-4 Gpc-3 yr-1. With these parameters, the detectable numbers of short GRBs are estimated within the horizon of Advanced LIGO.