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Phys. Rev. Lett. 93, 143201 (2004) [4 pages]

Three-Boson Problem near a Narrow Feshbach Resonance

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D. S. Petrov
ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA
Harvard-MIT CUA, Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA
Russian Research Center, Kurchatov Institute, Kurchatov Square, 123182 Moscow, Russia

Received 2 April 2004; published 27 September 2004

We consider a three-boson system with resonant binary interactions and show that for sufficiently narrow resonances three-body observables depend only on the resonance width and the scattering length. The effect of narrow resonances is qualitatively different from that of wide resonances revealing novel physics of three-body collisions. We calculate the rate of three-body recombination to a weakly bound level and the atom-dimer scattering length and discuss implications for experiments on Bose-Einstein condensates and atom-molecule mixtures near Feshbach resonances.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.143201
DOI:
10.1103/PhysRevLett.93.143201
PACS:
34.50.–s, 05.30.Jp