Phys. Rev. A 71, 012709 (2005) [7 pages]Feshbach resonance scattering under cylindrical harmonic confinementReceived 21 July 2004; published 19 January 2005 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. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.71.012709
DOI:
10.1103/PhysRevA.71.012709
PACS:
34.50.−s, 32.80.Pj, 03.75.Nt, 03.65.Nk
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