Discovery of a Universal Correlation For Long and Short GRBs and Its Application on the Study of Luminosity Function and Formation Rate

Abstract

Gamma-ray bursts (GRBs) are known to be the most violent explosions in the universe, and a variety of correlations between observable GRB properties have been proposed in literature, but none of these correlations is valid for both long GRBs and short GRBs. In this paper we report the discovery of a universal correlation which is suitable for both long and short GRBs using three prompt emission properties of GRBs, i.e. the isotropic peak luminosity $L_{\mathrm{iso}}$, the peak energy of the time-integtated prompt emission spectrum $E_{\mathrm{peak}}$, and the "high signal" timescale $T_{0.45}$, $L_{\mathrm{iso}}\propto E_{\mathrm{peak}}^{1.94}{T}_{0.45}^{0.37}$. This universal correlation just involves properties of GRB prompt emission and does not require any information of afterglow phase, which can be used as a relatively unbiased redshift estimator. Here we use this correlation to estimate the pseudo-redshifts for short Gamma Ray Bursts and then use Lynden-Bell method to obtain a non-parametric estimate of their luminosity function and formation rate. The luminosity function is $\psi (L_0)\propto L_0^{-0.63\pm 0.07}$ for dim SGRBs and $\psi (L_0)\propto L_0^{-1.96\pm 0.28}$ for bright SGRBs, with the break point $6.95_{-0.76}^{+0.84}\times 10^{50}erg/s$. The local formation rate of SGRBs is about 15 events $\mathrm{Gp}{\mathrm{c}}^{-3}\mathrm{y}{\mathrm{r}}^{-1}$ . This universal correlation may have important implications for GRB physics, implying that the long and short GRBs should share similar radiation processes.

arXiv comment13 pages, 6 figures, accepted for publication in ApJ

References in corpus (53)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• The slope of the black-hole mass versus velocity dispersion correlation
• An Ordinary Short Gamma-Ray Burst with Extraordinary Implications: Fermi-GBM Detection of GRB 170817A
• Some Aspects of Measurement Error in Linear Regression of Astronomical Data
• Intrinsic spectra and energetics of BeppoSAX Gamma-Ray Bursts with known redshifts
• A fundamental plane of black hole activity
• Gamma-Ray Bursts
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• Short-Hard Gamma-Ray Bursts
• GRB Formation Rates inferred from the Spectral Peak Energy - Luminosity Relation
• Gamma-Ray Bursts in the Swift Era
• A Decade of Short-duration Gamma-ray Burst Broad-band Afterglows: Energetics, Circumburst Densities, and Jet Opening Angles
• Gamma-Ray Bursts in the Swift Era
• The prompt energy release of gamma-ray bursts using a cosmological k-correction
• A Complete Catalog of Swift GRB Spectra and Durations: Demise of a Physical Origin for Pre-Swift High-Energy Correlations
• Model-Independent Multi-Variable Gamma-Ray Burst Luminosity Indicator and Its Possible Cosmological Implications
• Constraining ${\Omega }_M$ and Dark Energy with Gamma-Ray Bursts
• GRB 080913 at redshift 6.7
• Refining the fundamental plane of accreting black holes
• A complete sample of bright Swift Long Gamma Ray Bursts: testing the spectral-energy correlations
• Spectral properties of 438 GRBs detected by Fermi/GBM
• Cosmological Aspects of Gamma-Ray Bursts: Luminosity Evolution and an Estimate of the Star Formation Rate at High Redshifts
• SN 2006aj and the nature of low-luminosity gamma-ray bursts
• The Konus-Wind catalog of gamma-ray bursts with known redshifts. I. Bursts detected in the triggered mode
• Determination of the intrinsic Luminosity Time Correlation in the X-ray Afterglows of GRBs
• Discovery of a tight correlation among the prompt emission properties of long Gamma Ray Bursts
• A Survey of Galaxy Kinematics to z ~ 1 in the TKRS/GOODS-N Field. II. Evolution in the Tully-Fisher Relation
• A fundamental plane for long gamma-ray bursts with X-ray plateaus
• Statistical Study of Gamma-Ray Bursts with a Plateau Phase in the X-ray Afterglow
• Revisiting the Long/Soft-Short/Hard Classification of Gamma-Ray Bursts in the Fermi Era
• The rate and luminosity function of long Gamma Ray Bursts
• A simple empirical redshift indicator for gamma-ray bursts
• Toward a standard Gamma Ray Burst: tight correlations between the prompt and the afterglow plateau phase emission
• An unexpectedly low-redshift excess of Swift gamma-ray burst rate
• A Study of the Gamma-Ray Burst Fundamental Plane
• Gamma-ray burst prompt correlations: selection and instrumental effects
• Are GRB 980425 and GRB 031203 real outliers or twins of GRB 060218?
• Gamma Ray Burst afterglow and prompt-afterglow relations: an overview
• Are there cosmological evolution trends on Gamma-Ray Burst features?
• Possible existence of Ep-Lp and Ep-Eiso correlations for Short Gamma-Ray Bursts with a factor 5 to 100 dimmer than those for Long Gamma-Ray Bursts
• Selection effects in Gamma Ray Bursts correlations: consequences on the ratio between GRB and star formation rates
• Gamma Ray Burst Prompt correlations
• The formation rate of short gamma-ray bursts and gravitational waves
• The Evolution and Luminosity Function of Quasars from Complete Optical Surveys
• Statistical classification of gamma-ray bursts based on the Amati relation
• A comprehensive statistical study on gamma-ray bursts
• Short Gamma Ray Burst Formation Rate from BATSE data using E_p-L_p correlation and the minimum gravitational wave event rate of coalescing compact binary
• Gamma-Ray Bursts: the Isotropic-Equivalent-Energy Function and the Cosmic Formation Rate
• Binary neutron star merger rate via the luminosity function of short gamma-ray bursts
• Correlation between Peak Energy and Peak Luminosity in Short Gamma-Ray Bursts
• Searching for strange quark matter objects in exoplanets
• On the Subclasses in Swift Long Gamma-Ray Bursts: A Clue to Different Central Engines

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