Pairing in low-density Fermi gases. Papenbrock, T. & Bertsch, G. F. Physical Review C - Nuclear Physics, 59(4):2052–2055, 1999.
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We consider pairing in a dilute system of fermions with a short-range interaction. While the theory is ill-defined for a contact interaction, the BCS equations can be solved in the leading order of low-energy effective field theory. The integrals are evaluated with the dimensional regularization technique, giving analytic formulas relating the pairing gap, the density, and the energy density to the two-particle scattering length. \textcopyright 1999 The American Physical Society.
@article{Papenbrock1999,
abstract = {We consider pairing in a dilute system of fermions with a short-range interaction. While the theory is ill-defined for a contact interaction, the BCS equations can be solved in the leading order of low-energy effective field theory. The integrals are evaluated with the dimensional regularization technique, giving analytic formulas relating the pairing gap, the density, and the energy density to the two-particle scattering length. {\textcopyright} 1999 The American Physical Society.},
author = {Papenbrock, T. and Bertsch, G. F.},
doi = {10.1103/PhysRevC.59.2052},
issn = {1089490X},
journal = {Physical Review C - Nuclear Physics},
number = {4},
pages = {2052--2055},
title = {{Pairing in low-density Fermi gases}},
volume = {59},
year = {1999}
}

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