Correlations of the feedback energy and BCG radio luminosity in galaxy clusters

Abstract

We study the excess entropy and the corresponding non-gravitational feedback energy (Efeedback) in the intra-cluster medium (ICM) by considering a sample of 38 galaxy clusters using Chandra X-ray and NRAO VLA Sky Survey/Giant Metrewave Radio Telescope radio observations. We find moderate correlation of the feedback energy and brightest cluster galaxy (BCG) radio luminosity (LR) with the various cluster thermal properties. We show conclusively that the active galactic nucleus is more effective in transferring feedback energy to the ICM in less massive clusters. We find that within 0.3r500, the feedback energy correlates with cluster temperature as E_feedback∝ T_{ obs}^{0.98± 0.37}. Moreover, for radio-detected BCG sample, we find that BCG radio luminosity at 1.4 GHz scales with gas mass as L_ R∝ m_{ g, obs}^{ 1.76± 0.71} and with an X-ray luminosity as L_ R∝ L_{ X, obs}^{0.94± 0.35}. Finally, we discuss the implications of our results with regard to feedback in clusters.