Abstract
We consider the low-density limit of a Fermi gas in the BCS approximation. We show that if the interaction potential allows for a two-particle bound state, the system at zero temperature is well approximated by the Gross–Pitaevskii functional, describing a Bose–Einstein condensate of fermion pairs.
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Hainzl, C., Seiringer, R. Low Density Limit of BCS Theory and Bose–Einstein Condensation of Fermion Pairs. Lett Math Phys 100, 119–138 (2012). https://doi.org/10.1007/s11005-011-0535-4
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DOI: https://doi.org/10.1007/s11005-011-0535-4