The Fundamental Plane of Radio Loud Quasars and X-ray Binaries

In many X-ray binaries (XRBs) at the low/hard state exists a fairly good correlation between the radio and X-ray luminosities. Dong et al. also found this relation in radio quiet quasars (RQQs), and its expression has a definite similarity with the expression for the fundamental plane of the XRBs in the low/hard state. The collected radio loud quasars (RLQs) are analyzed to see whether such a relation also exists in the RLQs or not, and these sources include 255 RLQs. The analyzed results show that (1) such a correlation exists not only between the black hole mass and radio/X-ray luminosity, but also between the Eddington ratio of radio luminosity and that of X-ray luminosity in the 255 RLQs, which has a definite similarity with the expression for the fundamental plane derived by Dong et al. from the black hole binaries at the bright/hard state and RLQs, but still exists a certain difference; (2) the expressions for the fundamental plane of the XRBs at the low/hard state and that of RLQs can be unified to be LR=0.998−0.045+0.045lgLX+0.592−0.049+0.049lgMBH−6.56−1.605+1.605 (LR is the radio luminosity, LX is the X-ray luminosity, and MBH is the black hole mass); (3) the fundamental plane expression composed of the radio and X-ray luminosities and black hole mass has a high universality, it can be used not only for the XRBs at the low/hard state and RQQs, but also for RLQs.