Testing black hole neutrino-dominated accretion discs for long-duration gamma-ray bursts

TL;DR

This study investigates whether neutrino-dominated accretion flows around rotating black holes can power long-duration gamma-ray bursts by analyzing energy distributions and accreted masses, finding most are consistent with NDAF models.

Contribution

It provides an analysis of LGRB energies and accreted masses to assess the viability of NDAFs as central engines, considering realistic black hole parameters and efficiencies.

Findings

Most accreted masses are less than 5 solar masses for extreme Kerr black holes.

NDAFs are likely suitable for powering most LGRBs.

Some extremely high-energy LGRBs may not be explained by NDAFs.

Abstract

Long-duration gamma-ray bursts (LGRBs) are generally considered to originate from the massive collapsars. It is believed that the central engine of gamma-ray bursts (GRBs) is a neutrino-dominated accretion flow (NDAF) around a rotating stellar-mass black hole (BH). The neutrino annihilation above the NDAF is a feasible mechanism to power GRB. In this work, we analyse the distributions of the isotropic gamma-ray radiated energy and jet kinetic energy of 48 LGRBs. According to the NDAF and fireball models, we estimate the mean accreted masses of LGRBs in our sample to investigate whether the NDAFs can power LGRBs with the reasonable BH parameters and conversion efficiency of neutrino annihilation. The results indicate that most of the values of the accreted masses are less than $5~M_\odot$ for the extreme Kerr BHs and high conversion efficiency. It suggests that the NDAFs may be suitable for most of LGRBs except for some extremely high energy sources.