Asymptotic Bound-state Model for Feshbach Resonances

Abstract

We present an Asymptotic Bound-state Model which can be used to accurately describe all Feshbach resonance positions and widths in a two-body system. With this model we determine the coupled bound states of a particular two-body system. The model is based on analytic properties of the two-body Hamiltonian, and on asymptotic properties of uncoupled bound states in the interaction potentials. In its most simple version, the only necessary parameters are the least bound state energies and actual potentials are not used. The complexity of the model can be stepwise increased by introducing threshold effects, multiple vibrational levels and additional potential parameters. The model is extensively tested on the 6Li-40K system and additional calculations on the 40K-87Rb system are presented.

13 pages, 8 figures

References in corpus (19)

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• Feshbach Resonances in Ultracold Gases
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• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Observation of Feshbach resonances between two different atomic species
• Ultracold Heteronuclear Fermi-Fermi Molecules
• High-precision calculations of van der Waals coefficients for heteronuclear alkali-metal dimers
• Observation of Feshbach-like resonances in collisions between ultracold molecules
• Elastic and inelastic collisions of 6Li in magnetic and optical traps
• The coupling of the X${}^1{\Sigma }^{+}$ and a${}^3{\Sigma }^{+}$ states of KRb
• Broad Feshbach resonance in the 6Li-40K mixture
• Feshbach resonances with large background scattering length: interplay with open-channel resonances
• All-optical production of a degenerate mixture of 6Li and 40K and creation of heteronuclear molecules
• Ultracold molecules from ultracold atoms: a case study with the KRb molecule
• RF-field-induced Feshbach resonances
• Prediction of Feshbach resonances from three input parameters
• Predicting scattering properties of ultracold atoms: adiabatic accumulated phase method and mass scaling
• Feshbach resonances in 3He*-4He* mixtures
• Fermionic superfluidity with positive scattering length

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• Ultracold Dipolar Molecules Composed of Strongly Magnetic Atoms
• Feshbach resonances in potassium Bose-Bose mixtures
• Feshbach spectroscopy and scattering properties of ultracold Li+Na mixtures
• Quantum Defect Theory for High Partial Wave Cold Collisions
• Analyzing Feshbach resonances -- A ${}^6$Li -${}^{133}$Cs case study
• Singlet Pathway to the Ground State of Ultracold Polar Molecules
• Feshbach resonances in ultracold gases
• Feshbach resonances in 3He*-4He* mixtures
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Width and shift of Fano-Feshbach resonances for van der Waals interactions
• Singularities of Floquet Scattering and Tunneling
• Multichannel Quantum Defect Theory with Numerical Reference Functions: Applications to Cold Atomic Collisions