论文标题

$^3 \!p^o_0 $时钟状态中的超精细互动的角色

Role of hyperfine interaction in Landé $g$-factors of $^3\!P^o_0$ clock states

论文作者

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

论文摘要

在弱磁场近似中,我们得出了超精细诱导的兰德$ g $ factor的一般表达。通过使用此公式和多含量的dirac-hartree-fock理论,$ g $ factor是根据$ 3S3P〜^3 \!本结果,$Δg^{(1)} _ {\ rm hfs}(^3 \! 7.78(30)\ times 10^{ - 5} $ for $^{87} $ sr非常同意实验值。我们的理论也可用于预测其他原子系统的超细诱导的兰德$ g $ factor。

In the weak-magnetic-field approximation, we derived a general expression of hyperfine-induced Landé $g$-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, $δg^{(1)}_{\rm hfs}(^3\!P^o_0) = -1.183(6) \times 10^{-3}$ for $^{27}$Al$^+$ and $δg^{(1)}_{\rm hfs}(^3\!P^o_0) = 7.78(30) \times 10^{-5}$ for $^{87}$Sr agree with experimental values very well. Our theory is also useful to predict hyperfine-induced Landé $g$-factors for other atomic systems.

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