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Bulletin of the American Physical Society

Understanding Magnetic Feshbach Resonances in Collisions of Ultracold NaK with K

Matthew D. Frye, Jeremy M. Hutson

Published Mar 17, 2021• 0 citations
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We conduct a theoretical study of magnetically induced Feshbach resonances and near-threshold bound states in isotopic NaK pairs. Our calculations accurately reproduce Feshbach spectroscopy data on $\mathrm{Na}^{40}\mathrm{K}$ and explain the origin of the observed multiplets in the $p$ wave [Phys. Rev. A 85, 051602(R) (2012)]. We apply the model to predict scattering and bound state threshold properties of the boson-boson $\mathrm{Na}^{39}\mathrm{K}$ and $\mathrm{Na}^{41}\mathrm{K}$ systems. We find that the $\mathrm{Na}^{39}\mathrm{K}$ isotopic pair presents broad magnetic Feshbach resonances and favorable ground-state features for producing nonreactive polar molecules by two-photon association. Broad $s$-wave resonances are also predicted for $\mathrm{Na}^{41}\mathrm{K}$ collisions.

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Chemical Physics Cooling molecules to nanokelvin temperatures places them under the tightest quantum mechanical constraints. Studies in this intriguing regime have been limited to diatomics: Two cold atoms can be lured together into weakly associated Feshbach resonances, which lasers can then shift into a more stable molecular state. Yang et al. now report the observation of triatomic Feshbach resonances in ultracold collisions between potassium (K) atoms and sodium potassium (NaK) diatomics. The findings potentially set the stage for the preparation and study of ultracold triatomic molecules. Science , this issue p. [261][1] [1]: /lookup/doi/10.1126/science.aau5322
We present a detailed study of interspecies Feshbach resonances of the bosonic 23Na+39K^{23}\mathrm{Na}+^{39}\mathrm{K}23Na+39K mixture for magnetic fields up to 750G750\phantom{\rule{0.16em}{0ex}}\mathrm{G}750G in various collision channels. A total of 14 Feshbach resonances are reported, as well as four zero crossings of the scattering length and three inelastic two-body loss features. We use the observed magnetic-field locations of the resonant features together with the known data on 23Na+40K^{23}\mathrm{Na}+^{40}\mathrm{K}23Na+40K to refine the singlet and triplet ground-state potentials of NaK and achieve a consistent description of Feshbach resonances for both the Bose-Bose mixture of 23Na+39K^{23}\mathrm{Na}+^{39}\mathrm{K}23Na+39K and the Bose-Fermi mixture of 23Na+40K^{23}\mathrm{Na}+^{40}\mathrm{K}23Na+40K. We also discuss the influence of the interplay between inelastic two-body and three-body processes on the observation of a Feshbach resonance.
We conduct a theoretical study of magnetically induced Feshbach resonances and near-threshold bound states in isotopic NaK pairs. Our calculations accurately reproduce Feshbach spectroscopy data on Na40K\mathrm{Na}^{40}\mathrm{K}Na40K and explain the origin of the observed multiplets in the ppp wave [Phys. Rev. A 85, 051602(R) (2012)]. We apply the model to predict scattering and bound state threshold properties of the boson-boson Na39K\mathrm{Na}^{39}\mathrm{K}Na39K and Na41K\mathrm{Na}^{41}\mathrm{K}Na41K systems. We find that the Na39K\mathrm{Na}^{39}\mathrm{K}Na39K isotopic pair presents broad magnetic Feshbach resonances and favorable ground-state features for producing nonreactive polar molecules by two-photon association. Broad sss-wave resonances are also predicted for Na41K\mathrm{Na}^{41}\mathrm{K}Na41K collisions.