Fireball Heated by Neutrinos

Abstract

The fireball, the promising model of the gamma-ray burst (GRB), is an opaque radiation plasma, whose energy is significantly greater than its rest mass. We numerically simulate the evolution of the fireball heated by the neutrino-antineutrino annihilation process for the spherically symmetric case. We also derive analytical energy and momentum deposition rates via neutrino scattering with thermalized electron-positron pairs in the fireball. In our simulation the matter is provided around the neutrinosphere before neutrinos start to be emitted, and the energy is injected during a finite period of time $t_{\mathrm{dur}}$. In the acceleration regime the matter shell is pushed from behind by radiation pressure. The Lorentz factor of the shell reaches the maximum value $\eta$ at $r\simeq {\eta }^{2}c{t}_{\mathrm{dur}}$. After the fireball enters the coasting regime, the velocity distribution in the shell becomes very flat. The shell expansion rate $dW/dr$ can be much smaller than ${\eta }^{-2}$. The runaway of temperature of the fireball due to neutrino scattering with electron-positron pairs does not occur in most cases. The energy deposition due to scattering is not so significant.

26 pages, 11figures. To appear in ApJ Part 1, December 10, 2002

References in corpus (13)

• Collapsars - Gamma-Ray Bursts and Explosions in "Failed Supernovae"
• Gamma-Ray Bursts as the Death Throes of Massive Binary Stars
• Are Gamma-Ray Bursts in Star Forming Regions?
• Steep Slopes and Preferred Breaks in GRB Spectra: the Role of Photospheres and Comptonization
• Hydrodynamic Time Scales and Temporal Structure of GRBs
• Gasdynamics of Relativistically Expanding Gamma-Ray Burst Sources: Kinematics, Energetics, Magnetic Fields and Efficiency
• Hydrodynamics of Relativistic Fireballs
• Cooling Time Scales and Temporal Structure of Gamma-Ray Bursts
• Efficiency and spectrum of internal gamma-ray burst shocks
• Yet Another Model of Gamma-Ray Bursts
• Relativistic Effects on Neutrino Pair Annihilation above a Kerr Black Hole with the Accretion Disk
• Neutrino Pair Annihilation in the Gravitation of Gamma Ray Burst Sources
• Gamma-Ray Bursts via the Neutrino Emission from Heated Neutron Stars

Cited by in corpus (8)

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• Very High Energy Neutrinos Originating from Kaons in Gamma-Ray Bursts
• Neutrino Scattering, Absorption and Annihilation above the accretion disks of Gamma Ray Bursts
• Generation of a Fireball in AGN Hot Plasmas
• Neutrino pair annihilation ($\nu \bar{\nu }\to e^{-}{e}^{+}$) in the presence of quintessence surrounding a black hole
• Electron-positron energy deposition rate from neutrino pair annihilation on the rotation axis of neutron and quark stars
• Electron-positron energy deposition rate from neutrino pair annihilation in the equatorial plane of rapidly rotating neutron and quark stars
• Hydrodynamics of an electron-positron plasma near a black hole; applications to jet formation