Feshbach resonance scattering under cylindrical harmonic confinement
V. A. Yurovsky (Tel Aviv University)
TL;DR
This paper investigates atom collisions under cylindrical harmonic confinement, revealing how confinement alters scattering properties and bound states compared to free and purely one-dimensional systems.
Contribution
It introduces a renormalization approach to relate 3D and 1D scattering parameters in a confined atomic system, highlighting confinement effects.
Findings
Scattering amplitude differs from free space and 1D cases.
Bound states are modified by the cylindrical confinement.
A relation between 3D and 1D scattering parameters is established.
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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