Luminosity function of Type II GRBs:differences from long GRBs

Abstract

Gamma-ray bursts (GRBs) are generally categorized into long and short bursts based on their duration ($T_{90}$). Recently, it has been proposed that GRBs can also be classified into type I (merger) and type II (collapsar) bursts based on the different origin. From a sample of \textit{Swift} long GRBs~(LGRBs) with a redshift completeness of 60\% and $P\ge 2.6\text{ph}{\text{cm}}^{-2}{\text{s}}^{-1}$, collected through the end of 2023, we identify a pure sample of 146 Type II GRBs. With this sample, we construct the luminosity function (LF) using both the Broken Power Law (BPL) and Triple Power Law (TPL) models. Our results indicate that, similar to LGRBs, a strong redshift evolution in either luminosity or density is necessary to accurately account for the observations, regardless of the specific form of the LF assumed. The LF of LGRBs remains a topic of debate, with some studies suggesting it follows a BPL form, while others advocate for a TPL form. In our study, we find that the LF of Type II GRBs tends to favor a BPL model.

7 Pages,2 figures

References in corpus (57)

• On the normalisation of the cosmic star formation history
• Gamma-Ray Bursts
• Information criteria for astrophysical model selection
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• A "kilonova" associated with short-duration gamma-ray burst 130603B
• A glimpse of the end of the dark ages: the gamma-ray burst of 23 April 2009 at redshift 8.3
• Gamma-Ray Bursts in the Swift Era
• Discerning the physical origins of cosmological Gamma-ray bursts based on multiple observational criteria: the cases of z=6.7 GRB 080913, z=8.3 GRB 090423, and some short/hard GRBs
• An enigmatic long-lasting gamma-ray burst not accompanied by a bright supernova
• Measuring the cosmological parameters with the Ep,i-Eiso correlation of Gamma-Ray Bursts
• A Kilonova Following a Long-Duration Gamma-Ray Burst at 350 Mpc
• The luminosity function and the rate of Swift's Gamma Ray Bursts
• The Fourth Fermi-GBM Gamma-Ray Burst Catalog: A Decade of Data
• A Complete Catalog of Swift GRB Spectra and Durations: Demise of a Physical Origin for Pre-Swift High-Energy Correlations
• A complete sample of bright Swift Long Gamma-Ray Bursts: Sample presentation, Luminosity Function and evolution
• A long-duration gamma-ray burst with a peculiar origin
• Making a Short Gamma-Ray Burst from a Long one: Implications for the Nature of GRB 060614
• Short vs Long and Collapsars vs. non-Collapsar: a quantitative classification of GRBs
• JWST detection of heavy neutron capture elements in a compact object merger
• GRB 080913 at redshift 6.7
• Demographics of the Galaxies Hosting Short-duration Gamma-Ray Bursts
• On the Collapsar Model of Long Gamma-Ray Bursts: Constraints from Cosmic Metallicity Evolution
• Extremely energetic Fermi Gamma-Ray Bursts obey spectral energy correlations
• High-redshift cosmography: auxiliary variables versus Padé polynomials
• Extra-galactic high-energy transients: event rate densities and luminosity functions
• The host galaxies of core-collapse supernovae and gamma ray bursts
• Cosmological Aspects of Gamma-Ray Bursts: Luminosity Evolution and an Estimate of the Star Formation Rate at High Redshifts
• Star Formation History up to z = 7.4: Implications for Gamma-Ray Bursts and the Cosmic Metallicity Evolution
• An Unexpectedly Swift Rise in the Gamma-ray Burst Rate
• The Konus-Wind catalog of gamma-ray bursts with known redshifts. I. Bursts detected in the triggered mode
• Addressing the circularity problem in the $E_{\text{p}}-E_{\text{iso}}$ correlation of Gamma-Ray Bursts
• Gamma-ray Burst Cosmology
• A New Classification Method for Gamma-Ray Bursts
• The rate and luminosity function of long Gamma Ray Bursts
• Repeating fast radio burst 20201124A originates from a magnetar/Be star binary
• Measuring dark energy with the $E_{\mathrm{iso}}-E_{\mathrm{p}}$ correlation of gamma-ray bursts using model-independent methods
• Cosmological Evolution of Long Gamma-ray Bursts and Star Formation Rate
• An unexpectedly low-redshift excess of Swift gamma-ray burst rate
• The long gamma-ray burst rate and the correlation with host galaxy properties
• Gamma-ray burst rate: high-redshift excess and its possible origins
• On the Cosmological Evolution of Long Gamma-ray Burst Properties
• An analysis of the durations of Swift Gamma-Ray Bursts
• The high-redshift star formation rate derived from GRBs: possible origin and cosmic reionization
• An Evolving Stellar Initial Mass Function and the Gamma-Ray Burst Redshift Distribution
• High-redshift cosmography: Application and comparison with different methods
• A comprehensive statistical study on gamma-ray bursts
• High Redshift Gamma-Ray Bursts: Observational Signatures of Superconducting Cosmic Strings?
• The Luminosity Function and Formation Rate of A Complete Sample of Long Gamma-Ray Bursts
• $E_{\mathrm{iso}}$-$E_{\mathrm{p}}$ correlation of gamma ray bursts: calibration and cosmological applications
• Revisiting the luminosity and redshift distributions of long gamma-ray bursts
• Binary neutron star merger rate via the luminosity function of short gamma-ray bursts
• A Comparative Study of Luminosity Functions and Event Rate Densities of Long GRBs with Non-parametric Method
• Gamma-ray luminosity function of BL Lac objects and contribution to the extragalactic gamma-ray background
• Modelling the luminosity function of long Gamma Ray Bursts using SWIFT and FERMI
• Luminosity Function of collapsar Gamma-Ray Bursts:the Progenitor of Long Gamma-Ray Bursts Is Not Singular
• Pieces of evidence for multiple progenitors of Swift long gamma-ray bursts
• The redshift evolution of the luminosity function of type II GRBs