Magnetically tunable Feshbach resonances in Li$+$Yb(${}^3{P}_J$)

We have investigated magnetically tunable Feshbach resonances arising from the interaction of Li(${}^{2}S$) with metastable Yb(${}^3{P}_2$) and (${}^3{P}_0$). For Yb(${}^3{P}_2$), all the resonance features are strongly suppressed by inelastic collisions that produce Yb in its lower-lying ${}^3{P}_1$ and ${}^3{P}_0$ states. For Yb(${}^3{P}_0$), sharp resonances exist but they are extremely narrow (widths less than 1 mG).

Figure 1

Potential curves used in the present work for Li(${}^{2}S$) interacting with Yb(${}^{3}P$), based on the electronic structure calculations of Gopakumar et al. [28].

Figure 2

(a) Scattering length $a\left(B\right)$ for collisions of Li in its absolute ground state with Yb(${}^3{P}_2,m_j=-2$), including only Yb basis functions with $j=2$. (b) The near-threshold bound states responsible for the resonances in (a).

Figure 3

(a) The real part $\alpha \left(B\right)$ of the scattering length for collisions of Li in its absolute ground state with Yb(${}^3{P}_2,m_j=-2$), including Yb basis functions with $j=0$, 1, and 2. (b) The corresponding two-body loss rate $k_{\mathrm{loss}}$.

Figure 4

(a) The real part $\alpha \left(B\right)$ of the scattering length for spin-stretched collisions of Li and Yb(${}^3{P}_2$), $M_{\mathrm{tot}}=-7/2$ and $M_{\mathrm{tot}}=+7/2$, including Yb basis functions with $j=0$, 1, and 2. (b) The corresponding two-body loss rates $k_{\mathrm{loss}}$.

Figure 5

Near-threshold bound states relative to the absolute ground state Li+Yb(${}^3{P}_0)$ threshold, with the spin-orbit coupling constant held fixed at its atomic value (solid, red) and allowed to vary by 10% across the range of chemical interactions (dashed, green).