Efimovian three-body potential from broad to narrow Feshbach resonances

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We analyze 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 −9.7rvdW, with rvdW=1/2 (mC6/ℏ2)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 behavior 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, while 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 nonresonant interactions.
Originele taal-2Engels
Aantal pagina's11
TijdschriftPhysical Review A
Nummer van het tijdschrift2
StatusGepubliceerd - 1 feb. 2023


We thank Pascal Naidon and Thomas Secker for discussions. This research is financially supported by the Dutch Ministry of Economic Affairs and Climate Policy (EZK), as part of the Quantum Delta NL program and by the Netherlands Organisation for Scientific Research (NWO) under Grant No. 680-47-623.

Nederlandse Organisatie voor Wetenschappelijk Onderzoek680-47-623
Ministerie van Economische Zaken en Klimaat


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