High-accuracy optical clocks with sensitivity to the fine-structure constant variation based on Sm$ ^{10+} $

We identify two metastable excited states in Sm$^{10+}$ highly charged ion as candidates for high accuracy optical clocks. Several atomic properties relevant to optical clock development are calculated using relativistic many-body methods. This includes energy levels, transition amplitudes, lifetimes, scalar polarizabilities, black body radiation shift, and the sensitivity to the fine structure constant variation. We found that the clock transitions are not sensitive to perturbation, e.g., relative black body radiation shifts are $\sim 10^{-19}$. The enhancement factor for the $\alpha$ variation is $\sim$ 0.8 for one clock transition and $\sim$ 16 for another.