Revisiting the Formation Rate and the Redshift Distribution of LGRBs

Abstract

Using a novel approach, the distribution of fluences of long gamma ray bursts derived from the Swift-BAT catalog, was reproduced by a jet-model characterized by the distribution of the total radiated energy in $\gamma$-rays and the distribution of the aperture angle of the emission cone. The best fit between simulated and observed fluence distributions permits to estimate the parameters of the model. An evolution of the median energy of the bursts is required in order to reproduce adequately the observed redshift distribution of the events if the formation rate of $\gamma$-ray bursts follows the cosmic star formation rate. For our preferred model, the median jet energy evolves as $E_J\propto e^{0.5(1+z)}$ and the mean expected jet energy is $3.0\times 10^{49}$ erg, which agrees with the mean value derived from afterglow data. The estimated local formation rate is $R_{grb}=290Gp{c}^{-3}y{r}^{-1}$, representing less than 9% of the local formation rate of type Ibc supernovae. The present result suggests also that the progenitors of long gamma ray bursts have masses $\ge 90M_{\odot }$ if a Miller-Scalo initial mass function is assumed.

8 pages and 7 figures. Accepted for publication in A&A

References in corpus (19)

• The Supernova -- Gamma-Ray Burst Connection
• Long gamma-ray bursts and core-collapse supernovae have different environments
• The Second Swift BAT Gamma-Ray Burst Catalog
• On the Rates of Gamma Ray Bursts and Type Ib/c Supernovae
• The different progenitors of type Ib, Ic SNe, and of GRB
• The redshift distribution of SWIFT Gamma-Ray Bursts: evidence for evolution
• Post-Launch Analysis of Swift's Gamma-Ray Burst Detection Sensitivity
• The Gamma Ray Burst Luminosity Function in the Light of the Swift 2-year Data
• The Spectroscopic Classification and Explosion Properties of SN2009nz Associated with GRB091127 at z=0.490
• Classification of Swift's gamma-ray bursts
• Intrinsic properties of a complete sample of HETE-2 gamma-ray bursts. A measure of the GRB rate in the Local Universe
• Gamma-ray burst rate: high-redshift excess and its possible origins
• A mildly relativistic radio jet from the otherwise normal Type Ic Supernova 2007gr
• An Evolving Stellar Initial Mass Function and the Gamma-Ray Burst Redshift Distribution
• Selection Effects on the Observed Redshift Dependence of GRB Jet Opening Angles
• Gamma-Ray Bursts: the Isotropic-Equivalent-Energy Function and the Cosmic Formation Rate
• A redshift - observation-time relation for gamma-ray bursts: evidence of a distinct sub-luminous population
• Probing the low-luminosity GRB population with new generation satellite detectors
• Coalescence Rate of Supermassive Black Hole Binaries Derived from Cosmological Simulations: Detection Rates for LISA and ET

Cited by in corpus (7)

• Probing the Cosmic Gamma-Ray Burst Rate with Trigger Simulations of the Swift Burst Alert Telescope
• Late time multi wavelength observations of Swift J1644+5734: A luminous optical/IR bump and quiescent X-ray emission
• Constraining the rate and luminosity function of Swift gamma-ray bursts
• Distributions of Pseudo-Redshifts and Durations (Observed and Intrinsic) of Fermi GRBs
• On the prospects of gamma-ray burst detection in the TeV band
• The Consequences of Gamma-ray Burst Jet Opening Angle Evolution on the Inferred Star Formation Rate
• Machine Learning Model of the Swift/BAT Trigger Algorithm for Long GRB Population Studies