Annihilation luminosity of a neutrino-cooled accretion disk in a gamma-ray burst

We discuss how the annihilation luminosity of a neutrino-cooled accretion disk in a gamma-ray burst, Lνν, is determined by the disk’s fundamental parameters, namely, the mass of the central black hole M, the mass accretion rate M, and the viscosity parameter α. It is shown that Lνν depends mainly on M in evidence, and decreases with increasing M, but is almost independent of α. This result argues additionally that the central black hole in a gamma-ray burst must be with a stellar mass.

We discuss how the annihilation luminosity of a neutrino-cooled accretion disk in a gamma-ray burst, $ L_{V\bar V} $ , is determined by the disk’s fundamental parameters, namely, the mass of the central black hole M, the mass accretion rate ?, and the viscosity parameter α. It is shown that $ L_{V\bar V} $ depends mainly on ? in evidence, and decreases with increasing M, but is almost independent of α. This result argues additionally that the central black hole in a gamma-ray burst must be with a stellar mass.