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Loosely bound few-body states in a spin-1 gas with near-degenerate continua

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Abstract

A distinguishing feature of ultracold collisions of bosonic lithium atoms is the presence of two near-degenerate two-body continua. The influence of such a near degeneracy on the few-body physics in the vicinity of a narrow Feshbach resonance is investigated within the framework of a minimal model with two atomic continua and one closed molecular channel. The model allows analysis of the spin composition of loosely bound dimers and trimers. In the two-body sector the well-established coupled-channel calculation phenomenology of lithium is qualitatively reproduced, and its particularities are emphasized and clarified. In the three-body sector we find that the Efimov trimer energy levels follow a different functional form as compared to a single continuum scenario while the thresholds remain untouched. This three-channel model with two atomic continua complements our earlier developed three-channel model with two molecular channels [Yudkin and Khaykovich, Phys. Rev. A 103, 063303 (2021)2469-992610.1103/PhysRevA.103.063303] and suggests that the experimentally observed exotic behavior of the first excited Efimov energy level (Yudkin, Elbaz, and Khaykovich, arXiv:2004.02723) is most probably caused by the short-range details of the interaction potential.

Original languageEnglish
Article number053303
Number of pages14
JournalPhysical Review A
Volume107
Issue number5
DOIs
StatePublished - 2 May 2023

Bibliographical note

Publisher Copyright:
© 2023 American Physical Society.

Funding

We acknowledge fruitful discussions with J. P. D'Incao and S. J. J. M. F. Kokkelmans and members of his research group. This research was supported in part by the Israel Science Foundation (Grant No. 1543/20) and by a grant from the United States–Israel Binational Science Foundation (BSF), Jerusalem, Israel, and the United States National Science Foundation (NSF Award No. 2012125).

FundersFunder number
National Science Foundation2012125
United States-Israel Binational Science Foundation
Israel Science Foundation1543/20

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