The correlation between the kinetic jet power
Pjet, intrinsic
γ-ray luminosity (
Lint) and accretion (
Ldisk) may
reveal the underlying jet physics in various black hole systems. We study the
relation between kinetic jet power, intrinsic
γ-ray luminosity, and
accretion by using a large sample of jetted AGN, including flat-spectrum radio
quasars (FSRQs), BL Lacertae objects (BL Lacs), gamma-ray Narrow-line Seyfert 1
galaxies (
γNLS1s) and radio galaxies. Our main results are as follows:
(1) The slope indices of the relation between
Pjet and
Lint
are
0.85±0.01 for the whole sample,
0.70±0.02 for the FSRQs,
0.83±0.03 for the BL Lacs,
0.68±0.11 for the
γNLS1s, and
0.93±0.09 for the radio galaxies, respectively. The jets in
γNLS1s
and radio galaxies almost follow the same
Pjet-
Lint
correlation that was obtained for Fermi blazars. (2) The slope indices of the
relation between
Lint and
Ldisk are
1.05±0.02 for the
whole sample,
0.94±0.05 for the FSRQs,
1.14±0.05 for the BL Lacs, and
0.92±0.18 for the
γNLS1s, respectively. The
γNLS1s and radio
galaxies almost also follow the
Lint-
Ldisk correlation
derived for Fermi blazars. (3) The jet power is larger than the luminosity of
accretion disks for almost all jetted AGN. Jet power depends on both the
Eddington ratio and black hole mass. We obtain $\log P_{\rm
jet}\sim(1.00\pm0.02)\log L_{\rm disk}$ for the whole sample, which is
consistent with the theoretically predicted coefficient. These results may
imply that the jets of jetted AGN are powered by the Blandford-Znajek
mechanism.