Abstract 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.
Keywords (stars:) gamma-ray burst: general, stars: luminosity function, mass function, stars: neutron
It accepts original submissions from all over the world and is internationally published and distributed by IOP