  The overcooling of cool core clusters is a persistent puzzle in the
astrophysics of galaxy clusters. We propose that it may naturally be resolved
via interactions between the baryons of the intracluster medium (ICM) and its
dark matter (DM). DM-baryon interactions can inject heat into the ICM to offset
bremmstrahlung cooling, but these interactions are also strongly constrained by
existing experiments and astrophysical observations. We survey existing
constraints and combine these with the energetic needs of an observed sample of
cool core clusters. We find that a robust parameter space exists for baryon-DM
scattering solutions to the cooling flow problem, provided that only a
sub-component of DM interacts strongly with the baryons. Interestingly,
baryon-DM scattering is a thermally stable heating source so long as the baryon
temperature is greater than $1/3-1/2$ the DM temperature, a condition that
seems to be satisfied observationally.
