Feshbach resonance scattering under cylindrical harmonic confinement

Details Feshbach resonance scattering under cylindrical harmonic confinement Feshbach resonance scattering under cylindrical harmonic confinement

2003-08-23

arxiv.org/abs/cond-mat/0308465v2

Phys. Rev. A 71, 012709 (2005)

Physics

Condensed Matter

Statistical Mechanics

Completely rewritten version,8 pages with 5 figures, uses REVTeX

Scientific paper

10.1103/PhysRevA.71.012709

A problem of collisions of atoms with two-channel zero-range interaction in an atomic waveguide is solved by using of a renormalization procedure. A matching of the solution to a solution of the related one-dimensional problem leads to relation between the one-dimensional and three-dimensional scattering parameters. The scattering amplitude and bound states for the confined system demonstrate differences from the related free and one-dimensional systems.

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