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We investigate the relationship between brightest cluster galaxies (BCGs) andtheir host clusters using a sample of nearby galaxy clusters from theRepresentative XMM Cluster Structure Survey (REXCESS). The sample was imagedwith the Southern Observatory for Astrophysical Research (SOAR) in R band toinvestigate the mass of the old stellar population. Using a metric radius of12h^-1 kpc, we found that the BCG luminosity depends weakly on overall clustermass as L_BCG \propto M_cl^0.18+-0.07, consistent with previous work. We foundthat 90% of the BCGs are located within 0.035 r_500 of the peak of the X-rayemission, including all of the cool core (CC) clusters. We also found anunexpected correlation between the BCG metric luminosity and the core gasdensity for non-cool core (non-CC) clusters, following a power law of n_e\propto L_BCG^2.7+-0.4 (where n_e is measured at 0.008 r_500). The correlationis not easily explained by star formation (which is weak in non-CC clusters) oroverall cluster mass (which is not correlated with core gas density). The trendpersists even when the BCG is not located near the peak of the X-ray emission,so proximity is not necessary. We suggest that, for non-CC clusters, thiscorrelation implies that the same process that sets the central entropy of thecluster gas also determines the central stellar density of the BCG, and thatthis underlying physical process is likely to be mergers.

Brightest Cluster Galaxies and Core Gas Density in REXCESS Clusters