arXiv:1109.4794 · Physical Review A
Virial expansion with Feynman diagrams
X. Leyronas
Abstract
We present a field theoretic method for the calculation of the second and third virial coefficients ${b}_{2}$ and ${b}_{3}$ of two-species fermions interacting via a contact interaction. The method is mostly analytic. We find a closed expression for ${b}_{3}$ 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 ${b}_{3}$.