Static and dynamic polarizabilities of Yb-ion]{Accurate determination of black-body radiation shift, magic and tune-out wavelengths for the $6{\mathrm{S}}_{1/2}\to 5{\mathrm{D}}_{3/2}$ clock transition in Yb${}^{+}$

A. Roy, S. De, Bindiya Arora +1

We present precise values of the dipole polarizabilities ($\alpha$) of the ground $[4{\mathrm{f}}^{14}6s]{}^2{\mathrm{S}}_{1/2}$ and metastable $[4{\mathrm{f}}^{14}5d]{}^2{\mathrm{D}}_{3/2}$ states of Yb${}^{+}$, that are…