Heating the hot atmospheres of galaxy groups and clusters with cavities: the relationship between jet power and low-frequency radio emission
Ewan O'Sullivan, Simona Giacintucci, Laurence P. David, Myriam Gitti,, Jan M. Vrtilek, Somak Raychaudhury, Trevor J. Ponman

TL;DR
This study establishes scaling relations between jet power and radio emission in galaxy groups and clusters, emphasizing the reliability of low-frequency radio data for estimating jet power and comparing observations with theoretical models.
Contribution
It provides new, consistent low-frequency radio measurements and demonstrates their effectiveness in estimating jet power across a wide range of galaxy systems.
Findings
Jet power scales with radio luminosity as Pjet ∝ Lradio^~0.7
Low-frequency radio measurements are better indicators of jet power than higher frequencies
The observed relations align well with theoretical jet models
Abstract
We present scaling relations between jet power and radio power measured using the Giant Metrewave Radio Telescope (GMRT), Chandra and XMM-Newton, for a sample of 9 galaxy groups combined with the Birzan et al. sample of clusters. Cavity power is used as a proxy for mechanical jet power. Radio power is measured at 235 MHz and 1.4 GHz, and the integrated 10 MHz-10 GHz radio luminosity is estimated from the GMRT 610-235 MHz spectral index. The use of consistently analysed, high resolution low-frequency radio data from a single observatory makes the radio powers for the groups more reliable than those used by previous studies, and the combined sample covers 6-7 decades in radio power and 5 decades in cavity power. We find a relation of the form Pjet proportional to Lradio^~0.7 for integrated radio luminosity, with a total scatter of sigma_Lrad=0.63 and an intrinsic scatter of…
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