Time dependent numerical model for the very high energy emissions of distant gamma-ray busrt GRB 201216C

Abstract

Recently, the MAGIC Collaboration reported a $\sim 5\sigma$ statistical significance of the very-high-energy (VHE) emission from a distant GRB, GRB 201216C. Such distant GRB may be effectively absorbed by the extragalactic background light (EBL). The origin of the VHE emission from such distant objects is still unknown. Here, we propose a numerical model for studying the afterglow emission of this distant GRB. The model solves the continuity equation governing the temporal evolution of electron distribution, and the broad-band observed data can be explained by the synchrotron plus synchrotron self-Compton (SSC) radiation of the forward shock. The predicted observed 0.1 TeV flux can reach $\sim 10^{-9}-10^{-10}\mathrm{erg}\mathrm{c}{\mathrm{m}}^{-2}{\mathrm{s}}^{-1}$ at $t\sim 10^3-10^4\mathrm{s}$, even with strong EBL absorption, such strong Sub-TeV emissions still can be observed by MAGIC telescope. Using this numerical model, the shock parameters in the modeling are similar with two other Sub-TeV GRBs (i.e., GRB 190114C and GRB 180720B), implying that the Sub-TeV GRBs have some commonalities: they have energetic burst energy, low circum-burst medium density and low magnetic equipartition factor. We regard GRB 201216C as a typical GRB, and estimate the maximum redshift of GRB that can be detected by MAGIC telescope, i.e., $z\sim 1.6$. We also find that the VHE photon energy of such distant GRB can only reach $\sim 0.1\mathrm{TeV}$. Improving the low energy sensitivity of the VHE telescope is very important to detect the Sub-TeV emissions of these distant GRBs.

arXiv comment10 pages, 5 figures, submitted to ApJ

References in corpus (35)

• Spectra and Light Curves of Gamma-Ray Burst Afterglows
• Extragalactic Background Light Inferred from AEGIS Galaxy SED-type Fractions
• Wind Interaction Models for Gamma-Ray Burst Afterglows: The Case for Two Types of Progenitors
• The major upgrade of the MAGIC telescopes, Part II: A performance study using observations of the Crab Nebula
• On The Synchrotron Self-Compton Emission from Relativistic Shocks and Its Implications for Gamma-Ray Burst Afterglows
• Radio Remnants of Compact Binary Mergers - the Electromagnetic Signal that will follow the Gravitational Waves
• The luminosity function and the rate of Swift's Gamma Ray Bursts
• Teraelectronvolt emission from the $\gamma$-ray burst GRB 190114C
• A very-high-energy component deep in the Gamma-ray Burst afterglow
• Images and Spectra From the Interior of a Relativistic Fireball
• Analytical solutions for energy spectra of electrons accelerated by nonrelativistic shock-waves in shell type supernova remnants
• A Generic Dynamical Model of Gamma-ray Burst Remnants
• High Energy Spectral Components in Gamma-Ray Burst Afterglows
• Observation of inverse Compton emission from a long $\gamma$-ray burst
• Rapid variability in the synchrotron self Compton model for blazars
• Magnetic Fields In Relativistic Collisionless Shocks
• Angular size and emission time scales of relativistic fireballs
• Revealing x-ray and gamma ray temporal and spectral similarities in the GRB 190829A afterglow
• High Energy Afterglow from Gamma-ray Bursts
• Absorption of Very High Energy Gamma Rays in the Milky Way
• Klein-Nishina effects on the high-energy afterglow emission of gamma-ray bursts
• Synchrotron self-Compton emission from external shocks as the origin of the sub-TeV emission in GRB 180720B and GRB 190114C
• Synchrotron signature of a relativistic blast wave with decaying microturbulence
• Low-energy Spectra of Gamma-ray Bursts from Cooling Electrons
• On the magnetization of gamma-ray burst blast waves
• On the Implications of Late Internal Dissipation for Shallow-Decay Afterglow Emission and Associated High-Energy Gamma-Ray Signals
• External Inverse-Compton Emission from Low-Luminosity Gamma-Ray Bursts: Application to GRB 190829A
• Peculiar prompt emission and afterglow in H.E.S.S. detected GRB 190829A
• Astrophysics: Extreme emission seen from $\gamma$-ray bursts
• GeV photons from up-scattering of supernova shock breakout X-rays by an outside GRB jet
• External Inverse-Compton Emission Associated with Extended and Plateau Emission of Short Gamma-Ray Bursts: Application to GRB 160821B
• Nearby SN-Associated GRB~190829A: Environment, Jet Structure, and VHE Gamma-Ray Afterglows
• The synchrotron-self-Compton spectrum of relativistic blast waves at large Y
• High-energy gamma-ray afterglows from low-luminosity gamma-ray bursts
• Afterglow Synchrotron Radiations follow the $L_{\mathrm{p},\mathrm{iso}}-E_{\mathrm{p},\mathrm{z}}-{\Gamma }_0$ relation of Gamma-Ray Bursts? Cases of GRBs 190114C, 130427A, and 180720B

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