  We construct explicit models of particle dark matter where the attractive
force in the dark matter sector creates a narrow near-threshold resonance that
qualitatively changes the energy dependence of the annihilation cross section.
In these models, the resonant enhancement of the dark matter annihilation can
easily source the excess of energetic leptons observed by experiments on PAMELA
and FERMI satellites. The distinct feature of these models is that by
construction the enhancement of the annihilation cross section shuts off when
the dark matter velocity falls below the typical Milky Way values, thus
automatically satisfying constraints on dark matter annihilation imposed by the
CMB anisotropies and gamma ray constraints from satellite galaxies.
