Abstract
The lowest order constrained variational method [Phys. Rev. Lett. 88 (2002) 210403] has been generalized for a dilute (in the sense that the range of interatomic potential, R, is small compared with inter-particle spacing r 0) uniform gas of bosons near the Feshbach resonance using the multi-channel zero-range potential model. The method has been applied to Na( F=1, m F =1) atoms near the B 0=907 G Feshbach resonance. It is shown that at high densities na 3⪢1, there are significant differences between our results for the real part of energy per particle and the one-channel zero-range potential approximation. We point out the possibility of stabilization of the uniform condensate for the case of negative scattering length.
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