Efimovian three-body potential from broad to narrow Feshbach resonances

Abstract

We analyse the change in the hyperradial Efimovian three-body potential as the two-body interaction is tuned from the broad to narrow Feshbach resonance regime. Here, it is known from both theory and experiment that the three-body dissociation scattering length $a_{-}$ shifts away from the universal value of $-9.7r_{\mathrm{vdW}}$, with $r_{\mathrm{vdW}}=\frac{1}{2}{\left(m{C}_6/{\hslash }^2\right)}^{1/4}$ the two-body van der Waals range. We model the three-body system using a separable two-body interaction that takes into account the full zero-energy behaviour of the multichannel wave function. We find that the short-range repulsive barrier in the three-body potential characteristic for single-channel models remains universal for narrow resonances, whilst the change in the three-body parameter originates from a strong decrease in the potential depth. From an analysis of the underlying spin structure we further attribute this behavior to the dominance of the two-body interaction in the resonant channel compared to other background interactions.

12 pages, 11 figures

References in corpus (13)

• Three-boson problem near a narrow Feshbach resonance
• Analytical solution of the bosonic three-body problem
• Feshbach resonances, weakly bound molecular states and coupled-channel potentials for cesium at high magnetic fields
• Microscopic Origin and Universality Classes of the Efimov Three-Body Parameter
• Potassium ground state scattering parameters and Born-Oppenheimer potentials from molecular spectroscopy
• Universal van der Waals Physics for Three Ultracold Atoms
• Study of Efimov physics in two nuclear-spin sublevels of 7Li
• New type of crossover physics in three-component Fermi gases
• A two-channel R-matrix analysis of magnetic field induced Feshbach resonances
• The multichannel nature of three-body recombination for ultracold ${}^{39}$K
• Multichannel effects in the Efimov regime from broad to narrow Feshbach resonances
• Strong spin-exchange recombination of three weakly interacting ${}^7$Li atoms
• Efficient three-body calculations with a two-body mapped grid method

Cited by in corpus (7)

• Pinpointing Feshbach Resonances and Testing Efimov Universalities in ${}^{39}$K
• Reshaped Three-Body Interactions and the Observation of an Efimov State in the Continuum
• Emergent inflation of the Efimov spectrum under three-body spin-exchange interactions
• A multichannel hyperspherical model for Efimov physics with van der Waals interactions controlled by a Feshbach resonance
• Closed-channel parameters of Feshbach resonances
• Universal Efimov spectra and fermionic doublets in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Accurate simulation of Efimov physics in ultracold atomic gases with realistic three-body multichannel interactions