The jet structure and the intrinsic luminosity function of short gamma-ray bursts

Abstract

The joint observation of GW170817 and GRB 170817A indicated that short gamma-ray bursts (SGRBs) can originate from binary neutron star mergers. Moreover, some SGRBs could be detected off-axis, while the SGRB jets are highly structured. Then, by assuming an universal angular distribution of the jet emission for all SGRBs, we re-produce the flux and redshift distributions of the cosmological SGRBs detected by {\it Swift} and {\it Fermi}. For self-consistency, this angular distribution is simultaneously constrained by the luminosity and event rate of GRB 170817A. As a result, it is found that the universal jet structure of SGRBs could approximately have a two-Gaussian profile. Meanwhile, the intrinsic luminosity function (LF) of the on-axis emission of the jets can be simply described by a single power law with a low-luminosity exponential cutoff. The usually discovered broken-power-law apparent LF for relatively high luminosities can naturally result from the coupling of the intrinsic LF with the angular distribution of the jet emission, as the viewing angles to the SGRBs are arbitrarily distributed.

9 pages, 8 figures, accepted for publication in ApJ

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• Multi-messenger Detection Rates and distributions of Binary Neutron Star Mergers and Their Cosmological Implications
• Search for Gravitational Waves Associated with Gamma-Ray Bursts Detected by Fermi and Swift During the LIGO-Virgo Run O3b
• Exploring compact binary merger host galaxies and environments with $\mathrm{zELDA}$
• The short gamma-ray burst population in a quasi-universal jet scenario
• Constraints on the merging binary neutron star mass distribution and equation of state based on the incidence of jets in the population
• Kilonova and Optical Afterglow from Binary Neutron Star Mergers. II. Optimal Search Strategy for Serendipitous Observations and Target-of-opportunity Observations of Gravitational-wave Triggers
• Gamma-Ray Bursts
• A global test of jet structure and delay time distribution of short-duration gamma-ray bursts
• Prospects for searching for sterile neutrinos with gravitational wave and $\gamma$-ray burst joint observations
• Diverse origins for non-repeating fast radio bursts: Rotational radio transient sources and cosmological compact binary merger remnants
• A Bayesian Inference Framework for Gamma-Ray Burst Afterglow Properties
• Short gamma-ray burst progenitors have short delay times