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Considering the existence of old neutron stars puts strong limits on the darkmatter/nucleon cross section for bosonic asymmetric dark matter. Key to thesebounds is formation of a Bose-Einstein condensate (BEC) of the asymmetric darkmatter particles. We consider the effects of the host neutron star'sgravitational field on the BEC transition. We find this substantially shiftsthe transition temperature and so strengthens the bounds on cross section. Inparticular, for the well-motivated mass range of ~5-15 GeV, we improve previousbounds by an order of magnitude.

Effects of gravitational confinement on bosonic asymmetric dark matter in stars