Precision measurement of the ${}^3{D}_1$ and ${}^3{D}_2$ quadrupole moments in Lu${}^{+}$

Abstract

Precision measurements of the Lu${}^{+}$ ${}^3{D}_1$ and ${}^3{D}_2$ quadrupole moments have been carried out giving $\Theta {(}^3{D}_1)=0.63862(74)e{a}_0^2$ and $\Theta {(}^3{D}_2)=0.8602(14)e{a}_0^2$, respectively. The measurements utilize the differential shift between ions in a multi-ion crystal so that effects of external field gradients do not contribute leaving only the well defined Coulomb interaction. At this level of precision, hyperfine-mediated corrections will likely be important.

arXiv comment6 pages, 2 figures

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