Clock-related properties of ${\mathrm{Lu}}^{+}$

Singly ionized lutetium has a number of fortuitous properties well suited for a design of an optical clock and corresponding applications. In this work, we study ${\mathrm{Lu}}^{+}$ properties relevant to a development of the clock using the relativistic high-precision method combining configuration interaction and the linearized coupled-cluster approaches. The systematic effects due to interaction of an external electric-field gradient with the quadrupole moment and the dynamic correction to the blackbody radiation shift are studied and uncertainties are estimated. The value of the $5d6s{}^1{D}_2$ polarizability is predicted. We also demonstrate that ${\mathrm{Lu}}^{+}$ is a good candidate to search for variation of the fine-structure constant.