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

Abstract

An effective field theory for the three-body system with large scattering length a is applied to three-body recombination into deep bound states in a Bose gas. The recombination constant αis calculated to first order in the short-distance interactions that allow the recombination. For a < 0, the dimensionless combination m α/(\hbar a^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.

8 pages, RevTex, 3 postscript figures, uses epsf.tex, discussion improved, assumptions about width of Efimov states clarified

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