重新审视 HfF$^+$ 的 $\mathcal{T}$, $\mathcal{P}$ 奇宇称自旋-转动哈密顿量以实现精确的 $e$EDM 测量
Revisited $\mathcal{T}$, $\mathcal{P}$-odd spin-rotational Hamiltonian of HfF$^+$ for precise $e$EDM measurements
AI总结：
本文重新审视 HfF$^+$ 的 $\mathcal{T}$, $\mathcal{P}$ 奇宇称自旋-转动哈密顿量，通过第一性原理论证验证理论方法能完全重现实验光谱，从而支持精确的电子电偶极矩测量。
摘要：
当前对电子电偶极矩（$e$EDM）的约束，$|d_e|<4.1\times 10^{-30}$ ${e \cdotp {\rm cm}}$（90%置信度），最近是通过使用其 $^3Δ_1$ 电子态 $J=1$ 转动能级中捕获的 $^{180}$Hf$^{19}$F$^+$ 分子离子建立的 [T. S. Roussy, L. Caldwell, T. Wright, et al., arxiv:2212.11841]。对 HfF$^+$ 阳离子的广泛实验研究提供了在外部旋转电场和磁场中 $Ω-$双重态能级的详细光谱。我们表明，先前发展的理论方法可以完全重现最新的实验数据。从第一性原理出发的论证对于检验现代分子理论以及解释高精度实验数据时可能存在的系统不确定性至关重要。
英文摘要：
The current constraint on the electron electric dipole moment ($e$EDM), $|d_e|<4.1\times 10^{-30}$ ${e {\cdotp} {\rm cm}}$ (90\% confidence), was recently established using the trapped $^{180}$Hf$^{19}$F$^+$ molecular ions in the $J=1$ rotational level of its $ ^3Δ_1$ electronic state [T. S. Roussy, L. Caldwell, T. Wright, et al., arxiv:2212.11841]. The extensive experimental study of the HfF$^+$ cation provides detailed spectroscopy of the $Ω-$doublet levels in the external rotating electric and magnetic fields. We showed that previously developed theoretical approaches can fully reproduce the latest experimental data. Their justification from the first principles is very important for the examination of both modern molecular theory and possible systematic uncertainties in the interpretation of the experimental data obtained with high accuracy.
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