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We present an analysis of the diffuse X-ray emission in 19 compact groups ofgalaxies (CGs) observed with Chandra. The hottest, most X-ray luminous CGsagree well with the galaxy cluster X-ray scaling relations in $L_X-T$ and$L_X-\sigma$, even in CGs where the hot gas is associated with only thebrightest galaxy. Using Spitzer photometry, we compute stellar masses andclassify HCGs 19, 22, 40, and 42 and RSCGs 32, 44, and 86 as fossil groupsusing a new definition for fossil systems that includes a broader range ofmasses. We find that CGs with total stellar and HI masses $\gtrsim10^{11.3}$M$_\odot$ are often X-ray luminous, while lower-mass CGs only sometimes exhibitfaint, localized X-ray emission. Additionally, we compare the diffuse X-rayluminosity against both the total UV and 24 $\mu$m star formation rates of eachCG and optical colors of the most massive galaxy in each of the CGs. The mostX-ray luminous CGs have the lowest star formation rates, likely because thereis no cold gas available for star formation, either because the majority of thebaryons in these CGs are in stars or the X-ray halo, or due to gas strippingfrom the galaxies in CGs with hot halos. Finally, the optical colors that tracerecent star formation histories of the most massive group galaxies do notcorrelate with the X-ray luminosities of the CGs, indicating that perhaps thecurrent state of the X-ray halos is independent of the recent history ofstellar mass assembly in the most massive galaxies.

Some Like It Hot: Linking Diffuse X-ray Luminosity, Baryonic Mass, and Star Formation Rate in Compact Groups of Galaxies