Abstract
We give exact integral expressions of the third cluster or virial coefficients of binary mixtures of ideal Bose or Fermi gases, with interspecies interactions of zero range and infinite s-wave scattering length. In general the result depends on three-body parameters R t appearing in three-body contact conditions, because an Efimov effect is present or because the mixture is in a preefimovian regime with a mass ratio close to an Efimov-effect threshold. We give a new, exact integral expression of R t for the microscopic narrow Feshbach resonance model. A divergence of R t in the preefimovian regime at a scaling exponent s = 1 / 2 is predicted and physically discussed. The analytical results are applied to typical species used in cold atom experiments.
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