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The correlation between the kinetic power $P_{\rm jet}$ and intrinsicbolometric luminosity $L_{\rm jet}$ of jets may reveal the underlying jetphysics in various black hole systems. Based on the recent work by Nemmen etal. (2012), we re-investigate this correlation with additional sources ofblack-hole X-ray binaries (BXBs) in hard/quiescent states and low-luminosityactive galactic nuclei (LLAGNs). The new sample includes 29 sets of data from 7BXBs and 20 LLAGNs, with $P_{\rm jet}$ and $L_{\rm jet}$ being derived fromspectral modeling of the quasi-simultaneous multi-band spectra under theaccretion-jet scenario. Compared to previous works, the range of luminosity isnow enlarged to more than $20$ decades, i.e. from $10^{31}{\rm erg/s}$ to$10^{52}{\rm erg/s}$, which allows for better constraining of the correlation.One notable result is that the jets in BXBs and LLAGNs almost follow the same$P_{\rm jet} - L_{\rm jet}$ correlation that was obtained from blazars andgamma-ray bursts (GRBs). The slope indices we derived are $1.03\pm0.01$ for thewhole sample, $0.85\pm0.06$ for BXB subsample, $0.71\pm0.11$ for LLAGNsubsample, and $1.01\pm0.05$ for the LLAGN-blazar subsample, respectively. Thecorrelation index around unit implies the independence of jet efficiency on theluminosity or kinetic power. Our results may further support the hypothesisthat similar physical processes exist in the jets of various black holesystems.

the astrophysical journal. letters

Relationship Between the Kinetic Power and Bolometric Luminosity of  Jets: limitation from black hole X-ray binaries, active galactic nuclei, and  gamma-ray bursts