We present a field theoretic method for the calculation of the second and third virial coefficients b₂ and b₃ of two-species fermions interacting via a contact interaction. The method is mostly analytic. We find a closed expression for b₃ in terms of the two- and three-body T matrices. We recover numerically, at unitarity, and also in the whole Bose-Einstein-condensate--BCS crossover, previous numerical results for the third virial coefficient b₃.
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X. Leyronas (2011) studied this question.
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