One-Dimensional Bose Chemistry: Effects of Nonintegrability

Journal Article · Fri Apr 28 00:00:00 EDT 2006 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.96.163201· OSTI ID:20777168

Yurovsky, V A; Ben-Reuven, A; Olshanii, M ^[1]

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1. School of Chemistry, Tel Aviv University, 69978 Tel Aviv (Israel)

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 integrable Lieb-Liniger-McGuire (LLMG) model, with an energy-independent strength, 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 equations. The results demonstrate that as the internal symmetry of the LLMG model is lifted, reflection and chemical reactions become allowed and may be observed in experiments.

• OSTI ID: 20777168
• Journal Information: Physical Review Letters, Vol. 96, Issue 16; Other Information: DOI: 10.1103/PhysRevLett.96.163201; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ATOM-MOLECULE COLLISIONS
ATOMS
BOUND STATE
CHEMICAL REACTIONS
CONFINEMENT
CYLINDRICAL CONFIGURATION
DIATOMS
DISSOCIATION
ENERGY DEPENDENCE
FADDEEV EQUATIONS
INTEGRAL CALCULUS
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
REACTION KINETICS
REFLECTION
RESONANCE
SYMMETRY
THREE-BODY PROBLEM
TWO-BODY PROBLEM