The Neutrino Annihilation Model of NDAF Explains the Explosion of GRB 090510

A neutrino-dominated accretion disk around a stellar-mass black hole can power a gamma-ray burst via annihilation of neutrinos launched from the disk. For the black hole hyperaccretion system, accretion should trigger the violent evolution of the black hole's characteristics, which further leads to the evolution of the neutrino annihilation luminosity. In this paper, we analyze the mean time-dependent neutrino annihilation luminosity and the total neutrino annihilation energy via the evolution of the accretion system by setting different mean accretion rates and initial black hole parameters. Furthermore, we calculate the total neutrino annihilation energy of the short GRB 090510 by using observational data, and compare with the results of theoretical analysis. It is found that the theoretical value of the annihilation energy of NDAF neutrinos is much higher than the observed value, which means that the mechanism can explain the explosion of the short GRB 090510.