2010ApJ...720.1066C

Using Chandra X-ray and Very Large Array radio data, we investigate the scaling relationship between jet power, P_jet, and synchrotron luminosity, P_radio. We expand the sample presented in Bîrzan et al. to lower radio power by incorporating measurements for 21 giant elliptical galaxies (gEs) to determine if the Bîrzan et al. P_jet-P_radio scaling relations are continuous in form and scatter from gEs up to brightest cluster galaxies. We find a mean scaling relation of P_jet ≈ 5.8x10⁴³(P_radio/10⁴⁰)^0.70 erg/s which is continuous over ∼6-8 decades in P_jet and P_radio with a scatter of ≈ 0.7 dex. Our mean scaling relationship is consistent with the model presented in Willott et al. if the typical fraction of lobe energy in non-radiating particles to that in relativistic electrons is ≳100. We identify several gEs whose radio luminosities are unusually large for their jet powers and have radio sources which extend well beyond the densest parts of their X-ray halos. We suggest that these radio sources are unusually luminous because they were unable to entrain appreciable amounts of gas.