  We have investigated magnetically tunable Feshbach resonances arising from
the interaction of Li($^2S$) with metastable Yb($^3P_2$) and ($^3P_0$). For
Yb($^3P_2$), all the resonance features are strongly suppressed by inelastic
collisions that produce Yb in its lower-lying $^3P_1$ and $^3P_0$ states. For
Yb($^3P_0$), sharp resonances exist but they are extremely narrow (widths less
than 1 mG).
