论文标题
高清$^+$和H $ _2^+$中自旋旋转标量相互作用的高阶校正
Higher-order corrections to spin-spin scalar interactions in HD$^+$ and H$_2^+$
论文作者
论文摘要
氢分子离子HD $^+$中最大的超精细相互作用系数，即电子 - 普罗顿和电子 - 脱氧于型自旋旋转标量相互作用，以估计的不确定性略低于1〜ppm来计算。 $（Zα）^2 E_F $相对论校正，为此提出了详细的推导，QED校正至$α^3 \ ln^2（α）$，以及估计高阶项，并考虑了核结构校正。与RF光谱实验非常吻合的h $ _2^+$中的电子 - 普罗替子相互作用系数还提供了改进的结果。在HD $^+$中，在$（v，l）=（0,3）\至（9,3）$两光子过渡的超精细分裂中发现了4 $σ$差异，该过渡最近以高精度测量。这种差异的起源未知。
The largest hyperfine interaction coefficients in the hydrogen molecular ion HD$^+$, i.e. the electron-proton and electron-deuteron spin-spin scalar interactions, are calculated with estimated uncertainties slightly below 1~ppm. The $(Zα)^2 E_F$ relativistic correction, for which a detailed derivation is presented, QED corrections up to the order $α^3 \ln^2 (α)$ along with an estimate of higher-order terms, and nuclear structure corrections are taken into account. Improved results are also given for the electron-proton interaction coefficient in H$_2^+$, in excellent agreement with RF spectroscopy experiments. In HD$^+$, a 4$σ$ difference is found in the hyperfine splitting of the $(v,L)=(0,3) \to (9,3)$ two-photon transition that was recently measured with high precision. The origin of this discrepancy is unknown.
