Multichannel quantum-defect theory for slow atomic collisions

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.

8 pages, 3 figures

References in corpus (5)

• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• Feshbach resonances with large background scattering length: interplay with open-channel resonances
• Effective potentials for atom-atom interaction at low temperatures
• Comparison of numerical methods for the calculation of cold atom collisions
• Rotational structures of long-range diatomic molecules

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