The Roton in a Bose-Einstein Condensate

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The roton in a Bose-Einstein condensate is computed, both near and far from a Feshbach resonance. A low-density approximation is made, allowing for an analytic result. A Monte Carlo calculation shows that the roton is larger than predicted by the low-density approximation, for the upper range of densities considered here. The low-density approximation is applied to superfluid 4He, roughly reproducing the results of previous Monte Carlo calculations.
This version has an improved pair function

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