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Multichannel quantum-defect theory for slow atomic collisions

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arxiv physics/0508060 v1 pith:35SUMM6M submitted 2005-08-10 physics.atom-ph physics.chem-ph

classification physics.atom-phphysics.chem-ph
keywords scatteringtheoryatomiccollisionsmultichannelparametersquantum-defectslow
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abstract

We present a multichannel quantum-defect theory for slow atomic collisions that takes advantages of the analytic solutions for the long-range potential, and both the energy and the angular-momentum insensitivities of the short-range parameters. The theory provides an accurate and complete account of scattering processes, including shape and Feshbach resonances, in terms of a few parameters such as the singlet and the triplet scattering lengths. As an example, results for $^{23}$Na-$^{23}$Na scattering are presented and compared close-coupling calculations.

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