Efimovian three-body potential from broad to narrow Feshbach resonances

J. van de Kraats, D. J. M. Ahmed-Braun, J.-L. Li, and S. J. J. M. F. Kokkelmans
Phys. Rev. A 107, 023301 – Published 1 February 2023

Abstract

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=12(mC6/2)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.

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  • Received 25 October 2022
  • Accepted 20 January 2023
  • Corrected 14 February 2023

DOI:https://doi.org/10.1103/PhysRevA.107.023301

©2023 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Corrections

14 February 2023

Correction: A typographical error introduced during the production process involving the characters inside angular brackets in Eqs. (10) and (14) and in various locations in text has been fixed.

Authors & Affiliations

J. van de Kraats1,*, D. J. M. Ahmed-Braun1, J.-L. Li1,2, and S. J. J. M. F. Kokkelmans1

  • 1Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
  • 2Institut für Quantenmaterie and Center for Integrated Quantum Science and Technology IQ ST, Universität Ulm, D-89069 Ulm, Germany

  • *j.v.d.kraats@tue.nl

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Issue

Vol. 107, Iss. 2 — February 2023

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