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arXiv · 2007.16154

Role of hyperfine interaction in Land\'{e} $g$-factors of $^3\!P^o_0$ clock states

Tingxian Zhang·Benquan Lu·Jiguang Li·Chengbin Li·Hong Chang·Tingyun Shi·Zehuang Lu
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Abstract

In the weak-magnetic-field approximation, we derived a general expression of hyperfine-induced Land\'{e} $g$-factors. By using this formula and the multi-configuration Dirac-Hartree-Fock theory, the $g$-factors were calculated for the $3s3p~^3\!P^o_0$ clock state in $^{27}$Al$^+$ and $5s5p~^3\!P^o_0$ in $^{87}$Sr. The present results, $\delta g^{(1)}_{\rm hfs}(^3\!P^o_0) = -1.183(6) \times 10^{-3}$ for $^{27}$Al$^+$ and $\delta g^{(1)}_{\rm hfs}(^3\!P^o_0) = 7.78(30) \times 10^{-5}$ for $^{87}$Sr agree with experimental values very well. Our theory is also useful to predict hyperfine-induced Land\'e $g$-factors for other atomic systems.

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Tingxian Zhang, Benquan Lu, Jiguang Li, Chengbin Li, Hong Chang, Tingyun Shi, Zehuang Lu. 2020-07-31. Role of hyperfine interaction in Land\'{e} $g$-factors of $^3\!P^o_0$ clock states. https://doi.org/10.1016/j.jqsrt.2021.107562

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