Vertical Structure of Neutrino Dominated Accretion Disks and Neutrino Transport in the disks

Abstract

We investigate the vertical structure of neutrino dominated accretion disks by self-consistently considering the detailed microphysics, such as the neutrino transport, vertical hydrostatic equilibrium, the conservation of lepton number, as well as the balance between neutrino cooling, advection cooling and viscosity heating. After obtaining the emitting spectra of neutrinos and antineutrinos by solving the one dimensional Boltzmann equation of neutrino and antineutrino transport in the disk, we calculate the neutrino/antineutrino luminosity and their annihilation luminosity. We find that the total neutrino and antineutrino luminosity is about $10^{54}$ ergs/s and their annihilation luminosity is about $5\times 10^{51}$ ergs/s with an extreme accretion rate $10M_{\mathrm{sun}}$/s and an alpha viscosity $\alpha =0.1$. In addition, we find that the annihilation luminosity is sensitive to the accretion rate and will not exceed $10^{50}$ ergs/s which is not sufficient to power the most fireball of GRBs, if the accretion rate is lower than $1M_{\mathrm{sun}}$/s. Therefore, the effects of the spin of black hole or/and the magnetic field in the accretion flow might be introduced to power the central engine of GRBs.

22 pages, 9 figures, ApJ accepted

References in corpus (8)

• Gamma-Ray Bursts: Progress, Problems & Prospects
• Neutrino-Cooled Accretion Disks around Spinning Black Hole
• Neutrino-Dominated Accretion Models for Gamma-Ray Bursts: Effects of General Relativity and Neutrino Opacity
• Instabilities in the time-dependent neutrino disc in Gamma-Ray Bursts
• Magnetically Torqued Neutrino-Dominated Accretion Flows for Gamma-ray Bursts
• Hyperaccreting Neutron-Star Disks and Neutrino Annihilation
• Constraints on the Mass Accretion Rate of Neutrino-Cooled Disks in Gamma-Ray Bursts
• Electron Positron Capture Rates and the Steady State Equilibrium Condition for Electron-Positron Plasma with Nucleons

Cited by in corpus (12)

• Neutrino-dominated accretion flows as the central engine of gamma-ray bursts
• Relativistic global solutions of neutrino-dominated accretion flows
• Time evolution of flares in GRB 130925A: jet precession in black hole accretion system
• Detectable MeV neutrinos from black hole neutrino-dominated accretion flows
• Neutrino-cooled Accretion Model with Magnetic Coupling for X-ray Flares in GRBs
• Self-gravity in neutrino-dominated accretion disks
• Episodic jet power extracted from a spinning black hole surrounded by a neutrino-dominated accretion flow in gamma-ray bursts
• Central Engine of Late-Time X-ray Flares with Internal Origin
• Numerical and analytical solutions of Neutrino-Dominated Accretion Flows with a Non-Zero Torque Boundary Condition and its applications in Gamma-ray Bursts
• Vertical convection in neutrino-dominated accretion flows
• Vertical Advection Effects on Hyper-accretion Disks and Potential Link between Gamma-ray Bursts and Kilonovae
• Relativistic global solutions of neutrino-dominated accretion flows with magnetic coupling