Collective excitation frequencies of a Bose - Einstein condensate with electromagnetically induced $1\mathrm{/}r$ attraction

We investigate collective excitations of an atomic Bose-Einstein condensate in a recently discovered regime [D.O’Dell et al., Phys. Rev. Lett. 84, 5687 (2000)] of a balance between electromagnetically induced $1\mathrm{/}r$ attraction and a short-range interatomic repulsion. The corresponding frequencies for monopole, dipole, and quadrupole modes are calculated numerically in the zero temperature case.