  Long-duration gamma-ray bursts (GRBs) are generally related to the
core-collapse of massive stars. In the collapsar scenario, a rotating
stellar-mass black hole (BH) surrounded by a hyperaccretion disk has been
considered as one of the plausible candidates of GRB central engines. In this
paper, we work on a sample including 146 long GRBs with significant jet break
features in the multi-band afterglows. The jet opening angles can be then
obtained by the jet break time. By asumming GRB jets powered by
Blandford-Znajek (BZ) mechanism in the BH hyperaccretion system, we analyze the
distributions of the long GRB luminosities and durations in the samples, and
constrain the accretion rates for the different BH spins. As the results, we
find that the BZ mechanism is so powerful making it possible to interpret the
long GRB prompt emissions within the reasonably accretion rates.
