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.
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.
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)
