X-ray thermal coronae of galaxies in hot clusters -- ubiquity of embedded mini cooling cores

We present a systematic investigation of X-ray thermal coronae in 157 early-type galaxies and 22 late-type galaxies from a survey of 25 hot (kT>3 keV), nearby (z<0.05) clusters, based on CHANDRA archival data. Cool galactic coronae (kT=0.5-1.1 keV generally) have been found to be very common, >60% in NIR selected galaxies that are more luminous than 2L*, and >40% in L* < L_Ks < 2L* galaxies. These embedded coronae in hot clusters are generally smaller (1.5-4 kpc radii), less luminous (<~ 10^41 erg s^-1), and less massive (10^6.5-10^8 M_solar}) than coronae in poor environments, demonstrating the negative effects of hot cluster environments on galactic coronae. Nevertheless, these coronae still manage to survive ICM stripping, evaporation, rapid cooling, and powerful AGN outflows, making them a rich source of information about gas stripping, microscopic transport, and feedback processes in the cluster environment. Heat conduction across the boundary of the coronae has to be suppressed by a factor of >100, which implies the X-ray gas in early-type galaxies is magnetized and the magnetic field plays an important role in energy transfer. Stripping through transport processes (viscosity or turbulence) also needs to be suppressed by at least a factor of ten at the coronal boundary... (abridged) Diffuse thermal coronae have also been detected in at least 8 of 22 late-type (Sb or later) galaxies in our sample. Evidence for enhanced star formation triggered by the ICM pressure has been found in four late-type galaxies. The fraction of luminous X-ray AGN (>10^41 ergs s^-1) is not small (~ 5%) in our sample.