Quantum Defect Theory for High Partial Wave Cold Collisions

Abstract

We extend Multichannel Quantum Defect Theory (MQDT) to ultracold collisions involving high partial wave quantum numbers $L$. This requires a careful standardization of the MQDT reference wave functions at long range to ensure their linear independence. To illustrate the simplicity and accuracy of the resulting theory, we perform a comprehensive calculation of $L\le 2$ Fano-Feshbach resonances in the range 0-1000 G for the scattering of ${}^{40}$K + ${}^{87}$Rb in their lowest hyperfine states.

References in corpus (7)

• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Control of the interaction in a Fermi-Bose mixture
• The coupling of the X${}^1{\Sigma }^{+}$ and a${}^3{\Sigma }^{+}$ states of KRb
• Strong dependence of ultracold chemical rates on electric dipole moments
• Accurate near-threshold model for ultracold KRb dimers from interisotope Feshbach spectroscopy
• Prediction of Feshbach resonances from three input parameters
• Asymptotic Bound-state Model for Feshbach Resonances

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