Abstract
We derive a general, effective many-body theory for bosonic polar molecules in the strong interaction regime, which cannot be correctly described by previous theories within the first Born approximation. The effective Hamiltonian has additional interaction terms, which surprisingly reduce the anisotropic features of the condensate profile near the shape resonance regime. In a two-dimensional (2D) system with the dipole moment perpendicular to the plane, we find that the phonon dispersion scales as √|P| in the low-momentum (p) limit, showing the same low energy properties as a 2D charged Bose gas with Coulomb (1/r) interactions. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.