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Multichannel quantum-defect theory for slow atomic collisions

2005; American Physical Society; Volume: 72; Issue: 4 Linguagem: Inglês

10.1103/physreva.72.042719

1538-4446

Bo Gao, Eite Tiesinga, Carl J. Williams, Paul S. Julienne,

Quantum, superfluid, helium dynamics

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 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 triplet scattering lengths. As an example, results for $^{23}\mathrm{Na}\ensuremath{-}^{23}\mathrm{Na}$ scattering are presented and compared to close-coupling calculations.