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Feshbach resonance scattering under cylindrical harmonic confinement

V. A. Yurovsky
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Abstract

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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V. A. Yurovsky. 2004-07-25. Feshbach resonance scattering under cylindrical harmonic confinement. https://doi.org/10.1103/physreva.71.012709

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