Physics – Atomic Physics
Scientific paper
2005-12-05
Phys. Rev. Lett. 96, 163201 (2006)
Physics
Atomic Physics
5 pages, 4 figures
Scientific paper
10.1103/PhysRevLett.96.163201
Three-body collisions of ultracold identical Bose atoms under tight cylindrical confinement are analyzed. A Feshbach resonance in two-body collisions is described by a two-channel zero-range interaction. Elimination of the closed channel in the three-body problem reduces the interaction to a one-channel zero-range one with an energy dependent strength. The related problem with an energy independent strength (the Lieb-Liniger-McGuire model) has an exact solution and forbids all chemical processes, such as three-atom association and diatom dissociation, as well as reflection in atom-diatom collisions. The resonant case is analyzed by a numerical solution of the Faddeev-Lovelace equations. The results demonstrate that as the internal symmetry of the Lieb-Liniger-McGuire model is lifted, the reflection and chemical reactions become allowed and may be observed in experiments.
Ben-Reuven Abraham
Olshanii Maxim
Yurovsky Vladimir A.
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