Three-body recombination into deep bound states in a Bose gas with large scattering length

An effective field theory for the three-body system with large two-body scattering length a is applied to three-body recombination into deep bound states in a Bose gas. The recombination constant ce is calculated to first order in the short-distance interactions that allow the recombination. For a < 0, the dimensionless combination m/((h) over bara(4)) is a periodic function of ln \a \ that exhibits resonances at values of a that differ by multiplicative factors of 22.7. This dramatic behavior should be observable near a Feshbach resonance when a becomes large and negative.