Prokhorov, D.A.Churazov, E.M.2017-11-082017-11-082017-09Prokhorov, D.A. and Churazov, E.M. 2017. Confinement and diffusion time-scales of CR hadrons in AGN-inflated. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 470(3), pp.3388-3394.0035-8711 (Print)1365-2966 (Online)http://hdl.handle.net/10539/23388While rich clusters are powerful sources of X-rays, γ -ray emission from these large cosmic structures has not been detected yet. X-ray radiative energy losses in the central regions of relaxed galaxy clusters are so strong that one needs to consider special sources of energy, likely active galactic nucleus (AGN) feedback, to suppress catastrophic cooling of the gas. We consider a model of AGN feedback that postulates that the AGN supplies the energy to the gas by inflating bubbles of relativistic plasma, whose energy content is dominated by cosmic-ray (CR) hadrons. If most of these hadrons can quickly escape the bubbles, then collisions of CRs with thermal protons in the intracluster medium (ICM) should lead to strong γ -ray emission, unless fast diffusion of CRs removes them from the cluster. Therefore, the lack of detections with modern γ -ray telescopes sets limits on the confinement time of CR hadrons in bubbles and CR diffusive propagation in the ICM.enThis article has been accepted for publication in Monthly Notices of the Royal Astronomical Society ©: 2017 The Authors. Published by Oxford University Press on behalf of the Royal Astronomical Society. All rights reserved.Radiation mechanisms: non-thermalGamma rays: galaxies: clustersGAMMA-RAY EMISSIONACTIVE GALACTIC NUCLEIGALAXY CLUSTERSPERSEUS CLUSTERCOOLING FLOWSNGC 1275MAGIC TELESCOPESCOSMIC-RAYSXMM-NEWTONFERMIArticle