One-dimensional Bose chemistry: effects of non-integrability

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dc.creatorYurovsky, V. A.
dc.creatorBen-Reuven, A.
dc.creatorOlshanii, M.
dc.date2005-12-05
dc.date.accessioned2026-07-07T06:56:07Z
dc.date.available2026-07-07T06:56:07Z
dc.descriptionThree-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.
dc.description5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/physics/0512033
dc.identifierhttp://arxiv.org/abs/physics/0512033
dc.identifierPhys. Rev. Lett. 96, 163201 (2006)
dc.identifierdoi:10.1103/PhysRevLett.96.163201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106514
dc.subjectAtomic Physics
dc.subjectSoft Condensed Matter
dc.subjectQuantum Physics
dc.titleOne-dimensional Bose chemistry: effects of non-integrability
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