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We determine the effects of quantum fluctuations about the T=0 mean field solution of the BCS-BEC crossover in a dilute Fermi gas using the functional integral method.
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The definition of the effective range in the case of a Feshbach resonance, as well as the fact that current experiments are done in the regime of broad resonances can be found in R. Diener and T. L. Ho, cond-mat/0405174. See also D.S. Petrov C. Salomon, and G. Shlyapnikov, J. Phys. B: At. Mol. Opt. Phys. 38
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