Bose–Einstein condensation, dark matter and acoustic peaks

Scalar mediated interactions among baryons extend well above the Compton wavelength, when they are embedded in a Bose–Einstein condensate composed of the mediating particles. Indeed, this non-trivial environment results in an infinite-ranged interaction. We show that if the dark matter of the Universe is composed of such a condensate, the imprints of an interaction between baryonic and dark matter could be manifest as anomalies in the peak structure of the cosmic microwave background.