Observable Resonances in Efimov-unfavored Systems
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914215813447680 |
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| author | Elghazawy, Karim I. Greene, Chris H. |
| author_facet | Elghazawy, Karim I. Greene, Chris H. |
| contents | Three-body loss resonances associated with heavy-heavy-light Efimov states have been observed for over a decade in ultracold mixtures tuned near interspecies Feshbach resonances. For light-light-heavy systems, observing such resonances has been far more challenging due to the substantially large Efimov spacing. In these Efimov-unfavored systems, the intraspecies scattering length $a_\text{BB}$ has been shown to significantly affect the overall Efimov scenario, namely, the positions of the Efimov resonances $a_{-}^{(n)}$ and the three-body parameter (3BP) $a_{-}^{(0)}$. The present article explains the origin behind this influence by highlighting two primary mechanisms via which both the magnitude and sign of $a_\text{BB}$ govern the Efimov spectrum and set the resulting 3BP $a_{-}^{(0)}$. By employing van der Waals interactions for $^{23}$Na$_2{}^{40}$K, we attribute the vital role of $a_\text{BB}$ in Efimov-unfavored systems to the large difference between the Efimov scaling parameters for two and three resonant interactions, $s_0$ and $s_0^*$. In particular, we account for the unusually large $a_{-}^{(0)}$ obtained in light-light-heavy systems with $a_\text{BB}>0$ (e.g., $^{41}$K$_2{}^{87}$Rb), and show that the first Efimov resonance can still occur at an experimentally accessible value when $a_\text{BB}<0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_16374 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observable Resonances in Efimov-unfavored Systems Elghazawy, Karim I. Greene, Chris H. Quantum Gases Atomic Physics Three-body loss resonances associated with heavy-heavy-light Efimov states have been observed for over a decade in ultracold mixtures tuned near interspecies Feshbach resonances. For light-light-heavy systems, observing such resonances has been far more challenging due to the substantially large Efimov spacing. In these Efimov-unfavored systems, the intraspecies scattering length $a_\text{BB}$ has been shown to significantly affect the overall Efimov scenario, namely, the positions of the Efimov resonances $a_{-}^{(n)}$ and the three-body parameter (3BP) $a_{-}^{(0)}$. The present article explains the origin behind this influence by highlighting two primary mechanisms via which both the magnitude and sign of $a_\text{BB}$ govern the Efimov spectrum and set the resulting 3BP $a_{-}^{(0)}$. By employing van der Waals interactions for $^{23}$Na$_2{}^{40}$K, we attribute the vital role of $a_\text{BB}$ in Efimov-unfavored systems to the large difference between the Efimov scaling parameters for two and three resonant interactions, $s_0$ and $s_0^*$. In particular, we account for the unusually large $a_{-}^{(0)}$ obtained in light-light-heavy systems with $a_\text{BB}>0$ (e.g., $^{41}$K$_2{}^{87}$Rb), and show that the first Efimov resonance can still occur at an experimentally accessible value when $a_\text{BB}<0$. |
| title | Observable Resonances in Efimov-unfavored Systems |
| topic | Quantum Gases Atomic Physics |
| url | https://arxiv.org/abs/2503.16374 |