Magnetar as Central Engine of Gamma-Ray Bursts: Quasi-Universal Jet, Event Rate and X-ray Luminosity Function of Dipole Radiations

Abstract

Early shallow-decaying X-ray afterglows of gamma-ray bursts (GRBs) may be attributed to the dipole radiations of newly-born magnetars. Assuming that the GRB jets powered by magnetars are quasi-universal, we find that the jet structure can be parameterized as a uniform jet with a luminosity of $\log L_{\mathrm{j}}/\mathrm{erg}{\mathrm{s}}^{-1}=52.68_{-0.33}^{+0.76}$ (1$\sigma$) and an opening angle ${\theta }_{\mathrm{j}}=2.10_{-1.28}^{+1.90}$ (50\% confidence level), surrounding by a power-law decay component with an index of $-4.00_{-0.37}^{+0.27}$ (1$\sigma$). The inferred local GRB rate is $\rho =9.6$ Gpc${}^{-3}$ yr${}^{-1}$ by including both the typical GRBs and LL-GRBs as the same population. The typical viewing angle is $3.3^o$, and may be $20^o\sim 30^o$ for LL-GRBs. The X-ray luminosity function of the dipole radiation wind can be empirically described by a broken power-law function with indices ${\beta }_1=0.78_{-0.15}^{+0.16}$ and ${\beta }_2>1.6$ broken at $\log L_{b,w}/\mathrm{erg}{\mathrm{s}}^{-1}=48.51_{-0.65}^{+0.53}$. In case of that the wind outflow is collimated and co-axial with the GRB jet, we find that the wind structure is similar to the GRB jet, i.e., $\log L_{\mathrm{c},\mathrm{w}}/\mathrm{erg}{\mathrm{s}}^{-1}=48.38_{-0.48}^{+0.30}$, ${\theta }_{\mathrm{c},\mathrm{w}}={2.65^o}_{-1.19^o}^{+\mathrm{0.1.7}{3}^o}$, and $k_{\mathrm{w}}=4.57_{-0.75}^{+1.21}$. The observed correlation between the prompt gamma-ray luminosity and X-ray luminosity of the wind may be resulted from the viewing angle effect in such a jet-wind system. Discussion on survey with the X-ray instruments on board the {\em Einstein\ Probe} mission in the soft X-ray band for the jet and wind emission is also presented.

arXiv comment22 pages, 10 figures, and 1 table. Accepted for publication in ApJ

References in corpus (82)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Collapsars - Gamma-Ray Bursts and Explosions in "Failed Supernovae"
• Methods and results of an automatic analysis of a complete sample of Swift-XRT observations of GRBs
• On the normalisation of the cosmic star formation history
• Gamma-Ray Bursts as the Death Throes of Massive Binary Stars
• Beaming in Gamma-Ray Bursts: Evidence for a Standard Energy Reservoir
• Jets in GRBs
• The Physics of Gamma-Ray Bursts and Relativistic Jets
• An online repository of Swift/XRT light curves of GRBs
• Evidence for a Canonical GRB Afterglow Light Curve in the Swift/XRT Data
• Hyper-Accreting Black Holes and Gamma-Ray Bursts
• The Dynamics and Light Curves of Beamed Gamma Ray Burst Afterglows
• Gamma-ray Burst Afterglow with Continuous Energy Injection: Signature of a Highly-Magnetized Millisecond Pulsar
• The Proto-Magnetar Model for Gamma-Ray Bursts
• An optical supernova associated with the X-ray flash XRF 060218
• Signatures of magnetar central engines in short GRB lightcurves
• Relativistic Jets in Collapsars
• The early X-ray emission from GRBs
• Accretion Models of Gamma-Ray Bursts
• The Electromagnetic Counterpart of the Binary Neutron Star Merger LIGO/VIRGO GW170817. V. Rising X-ray Emission from an Off-Axis Jet
• Viewing Angle and Environment Effects in GRB: Sources of Afterglow Diversity
• Revealing the High-Redshift Star Formation Rate with Gamma-Ray Bursts
• X-Ray Flares from Postmerger Millisecond Pulsars
• Asymmetric Supernovae, Pulsars, Magnetars, and Gamma-Ray Bursts
• A Common Origin for Cosmic Explosions Inferred from Fireball Calorimetry
• Gamma-ray burst beaming: a universal configuration with a standard energy reservoir?
• The luminosity function and the rate of Swift's Gamma Ray Bursts
• Low Luminosity Gamma-Ray Bursts as a Unique Population: Luminosity Function, Local Rate, and Beaming Factor
• Swift observations of GRB 070110: an extraordinary X-ray afterglow powered by the central engine
• A Comprehensive Analysis of the Swift/XRT Data: II. Diverse Physical Origins of the Shallow Decay Segment
• The Millisecond Magnetar Central Engine in short GRBs
• The Star Formation Rate in the Reionization Era as Indicated by Gamma-ray Bursts
• On the Rates of Gamma Ray Bursts and Type Ib/c Supernovae
• The Evolution of a Structured Relativistic Jet and GRB Afterglow Light-Curves
• Making a Short Gamma-Ray Burst from a Long one: Implications for the Nature of GRB 060614
• The central engine of gamma-ray bursters
• Relativistic shock breakouts - a variety of gamma-ray flares: from low luminosity gamma-ray bursts to type Ia supernovae
• A Comprehensive Analysis of Swift/XRT Data: III. Jet Break Candidates in X-ray and Optical Afterglow Lightcurves
• The First Swift BAT Gamma-Ray Burst Catalog
• A test of the millisecond magnetar central engine model of GRBs with Swift data
• The Swift Burst Analyser I: BAT and XRT spectral and flux evolution of Gamma Ray Bursts
• The X-ray afterglow flat segment in short GRB 051221A: Energy injection from a millisecond magnetar?
• GRB Afterglows with Energy Injection from a spinning down NS
• Can X-ray emission powered by a spinning-down magnetar explain some GRB light curve features?
• Are low luminosity GRBs generated by relativistic jets?
• The Luminosity and Angular Distributions of Long GRBs
• Constraints on binary neutron star merger product from short GRB observations
• Quasi-universal Gaussian jets: a unified picture for gamma-ray bursts and X-ray flashes
• Magnetar powered GRBs: Explaining the extended emission and X-ray plateau of short GRB light curves
• Off-axis short GRBs from structured jets as counterparts to GW events
• SN 2006aj and the nature of low-luminosity gamma-ray bursts
• Can magnetar spin-down power extended emission in some short GRBs?
• Luminosity Function of Gamma-Ray Bursts Derived Without Benefit of Redshifts
• Rebrightening of XRF 030723: further evidence for a two-component jet in gamma-ray burst
• A magnetar-powered X-ray transient as the aftermath of a binary neutron-star merger
• The bright optical afterglow of the nearby gamma-ray burst of 29 March 2003
• Astrophysics: A burst of new ideas
• Taxonomy of GRB optical light-curves: identification of a salient class of early afterglows
• Probing the Cosmic Gamma-Ray Burst Rate with Trigger Simulations of the Swift Burst Alert Telescope
• A lesson from GW170817: most neutron star mergers result in tightly collimated successful GRB jets
• Low-Luminosity GRB 060218: A Collapsar Jet from a Neutron Star, Leaving a Magnetar as a Remnant?
• An Off-Axis Jet Model For GRB980425 and Low Energy Gamma-Ray Bursts
• GRB Afterglows from Anisotropic Jets
• Millimeter Observations of GRB 030329: Continued Evidence for a Two-Component Jet
• Luminosity function and jet structure of Gamma Ray Bursts
• X-ray counterpart of gravitational waves due to binary neutron star mergers: light curves, luminosity functions, and event rate densities
• Fallback Accretion onto a Newborn Magnetar: short GRBs with Extended Emission
• Light curves and spectra from off-axis gamma-ray bursts
• GW170817/GRB 170817A/AT2017gfo association: some implications for physics and astrophysics
• Rise and fall of the X-ray flash 080330: an off-axis jet?
• A Central Engine for Cosmic Gamma-Ray Burst Sources
• Simulations on High-z Long Gamma-Ray Burst Rate
• GRB081028 and its late-time afterglow re-brightening
• The Luminosity Function and Formation Rate of A Complete Sample of Long Gamma-Ray Bursts
• Spectral and temporal analysis of the joint Swift/BAT-Fermi/GBM GRB sample
• Off-axis Emission from the Beamed Afterglow of Gamma Ray Bursts and a Possible Interpretation of Slowly Declining X-Ray Afterglow of GRB980425
• Perspectives on Gamma-Ray Burst Physics and Cosmology with Next Generation Facilities
• The Peak Energy Distribution of the nu F_nu Spectra and the Implications for the Jet Structure Models of Gamma-Ray Bursts
• Fallback accretion on to a newborn magnetar: long GRBs with giant X-ray flares
• Magnetar as Central Engine of Gamma-Ray Bursts: Central Engine-Jet Connection, Wind-Jet Energy Partition, and Origin of Some Ultra-Long Bursts
• The radiative efficiency of relativistic jet and wind: A case study of GRB 070110