Short gamma-ray bursts as a possible probe of binary neutron star mergers

Abstract

We study the properties of short gamma-ray bursts (GRBs), based on the assumption that they are all connected to the binary neutron star mergers, whose formation mechanism contains a large amount of uncertainty. In particular, the merger time distribution is focused on, which is essential for short GRB rate estimate; we simply parameterize it as P_m(t)\propto t^αwith lower cutoff time-scale τ. The short GRB rate, calculated using such a parameterization with a specific model of cosmic star formation rate, is found to be quite insensitive to the value of τ, but considerably sensitive to α. With such formation rate models, the peak flux distribution observed by BATSE is fitted. In the fitting process, the local short GRB rate ρ_0 is treated as one of free parameters, giving the best fit when ρ_0 = 0.1--2 yr^{-1} Gpc^{-3}, depending on the other free parameters as well as the formation rate model represented by (τ,α). We also discuss several implications for the intrinsic properties of possible sources of short GRBs, such as jet structure, intrinsic luminosity function, and intrinsic duration distribution.

19 pages, 5 figures, corrected typos, added references, accepted by JCAP

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• Cosmology with the lights off: Standard sirens in the Einstein Telescope era
• The Local Rate and the Progenitor Lifetimes of Short-Hard Gamma-Ray Bursts: Synthesis and Predictions for LIGO
• Digging deeper: Observing primordial gravitational waves below the binary black hole produced stochastic background
• A Mock Data Challenge for the Einstein Gravitational-Wave Telescope
• Revealing the Supernova--Gamma-Ray Burst Connection with TeV Neutrinos
• The Physics of Fast Radio Bursts
• The BATSE-Swift luminosity and redshift distributions of short-duration GRBs
• A consistent estimate for Gravitational Wave and Electromagnetic transient rates
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• Accessibility of the Gravitational-Wave Background due to Binary Coalescences to Second and Third Generation Gravitational-Wave Detectors
• Short Gamma-Ray Bursts and Binary Mergers in Spiral and Elliptical Galaxies: Redshift Distribution and Hosts
• Subtracting compact binary foreground sources to reveal primordial gravitational-wave backgrounds
• General Relativistic Binary Merger Simulations and Short Gamma Ray Bursts
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• FRB event rate counts II --- fluence, redshift and dispersion measure distributions
• Gravitational-wave confusion background from cosmological compact binaries: Implications for future terrestrial detectors
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• Deducing the Lifetime of Short Gamma-Ray Burst Progenitors from Host Galaxy Demography
• High-energy neutrinos from reverse shocks in choked and successful relativistic jets
• The formation rate of short gamma-ray bursts and gravitational waves
• Subtracting Compact Binary Foregrounds to Search for Subdominant Gravitational-Wave Backgrounds in Next-Generation Ground-Based Observatories
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• Mock data study for next-generation ground-based detectors: The performance loss of matched filtering due to correlated confusion noise
• Gravitational Collapse and Neutrino Emission of Population III Massive Stars
• Short gamma-ray bursts from SGR giant flares and neutron star mergers: two populations are better than one
• The Progenitors of Short-Hard Gamma-Ray Bursts from an Extended Sample of Events
• New evidence of multiple channels for the origin of gamma-ray bursts with extended emission
• Impact of overlapping signals on parameterized post-Newtonian coefficients in tests of gravity
• The gravitational wave "probability event horizon" for double neutron star mergers
• Application of the Probability Event Horizon filter to constrain the local rate density of binary black hole inspirals with Advanced LIGO
• The Luminosity Distribution of Short Gamma-Ray Bursts under a Structured Jet Scenario
• Comparison of the Origin of Short Gamma-Ray Bursts with or without Extended Emission
• Imprints of the redshift evolution of double neutron star merger rate on the signal to noise ratio distribution