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We present an analysis of the energetics and particle content of the lobes of24 radio galaxies at the cores of cooling clusters. The radio lobes in thesesystems have created visible cavities in the surrounding hot, X-ray-emittinggas, which allow direct measurement of the mechanical jet power of radiosources over six decades of radio luminosity, independently of the radioproperties themselves. Using these measurements, we examine the ratio betweenradio power and total jet power (the radiative efficiency). We find that jet(cavity) power increases with radio synchrotron power approximately as P_jet ~(L_radio)^beta, where 0.35 < beta < 0.70 depending on the bandpass ofmeasurement and state of the source. However, the scatter about these relationscaused by variations in radiative efficiency spans more than four orders ofmagnitude. After accounting for variations in synchrotron break frequency(age), the scatter is reduced by ~ 50%, yielding the most accurate scalingrelation available between the lobe bolometric radio power and the jet (cavity)power. We place limits on the magnetic field strengths and particle content ofthe radio lobes using a variety of X-ray constraints. We find that the lobemagnetic field strengths vary between a few to several tens of microgaussdepending on the age and dynamical state of the lobes. If the cavities aremaintained in pressure balance with their surroundings and are supported byinternal fields and particles in equipartition, the ratio of energy inelectrons to heavy particles (k) must vary widely from approximately unity to4000, consistent with heavy (hadronic) jets.

Radiative Efficiency and Content of Extragalactic Radio Sources: Toward a Universal Scaling Relation Between Jet Power and Radio Power