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Feshbach resonances in ultracold atomic and molecular collisions: threshold behaviour and suppression of poles in scattering lengths

2006/10/31 by Jeremy M. Hutson, Jeremy M Hutson · 4 citations
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Cold Atom Physics and Bose-Einstein Condensates #Dust and Plasma Wave Phenomena #physics.atom-ph #physics.chem-ph

paper · pdf · doi:10.1088/1367-2630/9/5/152

published as New J. Phys. 9, 152 (2007) · 10 pages, 2 figures. Version 4 has slightly revised content to reflect the realisation that the resonant scattering length a_res can be complex, which will sometimes produce a reduction in inealastic scattering near a resonance

arxiv created 2007/04/05 · openalex publication_date 2007/05/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

In the absence of inelastic scattering, Feshbach resonances produce poles in scattering lengths and very large peaks in elastic cross-sections. However, inelastic scattering removes the poles. Whenever the resonant state is coupled comparably to the elastic and inelastic channels, the scattering length exhibits only a small oscillation and peaks in cross-sections are significantly suppressed. A resonant scattering length is defined to characterize the amplitude of the oscillation, and is shown to be small for many collisions of ultracold molecules. The results suggest that cross-sections for some ultracold collision processes will be much less sensitive to details of the potential than has been expected.

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