Lande g-factor measurements for the 5d6s 3D2 hyperfine levels of 176Lu+

TL;DR

This paper presents precise measurements of the Lande g-factors for specific hyperfine levels in $^{176}$Lu$^+$, combining experimental data with theory to refine hyperfine and quadrupole moment estimates relevant for atomic clock transitions.

Contribution

The study provides highly accurate g-factor measurements and theoretical analysis to improve understanding of hyperfine interactions in $^{176}$Lu$^+$.

Findings

Measured g-factors with fractional inaccuracy of 5×10^{-7}

Estimated hyperfine-mediated modifications to quadrupole moments

Inferred residual quadrupole moment of the clock transition

Abstract

We report measurements of the Lande g-factors for the 5d6s $^3$D$_2$ hyperfine levels of $^{176}$Lu$^+$ to a fractional inaccuracy of $5\times 10^{-7}$. Combining these measurements with theoretical calculations allows us to estimate hyperfine-mediated modifications to the quadrupole moments for each state and infer a value of $\delta\Theta = 1.59(34)\times 10^{-4} \,ea_0^2$ for the residual quadrupole moment of the $^1S_0\leftrightarrow{^3}D_2$ hyperfine-averaged clock transition.