By the Fourier transform of the yields of ${\mathrm{Ar}}^{2+}$ and ${\mathrm{Kr}}^{2+}$ obtained by the pump-probe measurements using intense near-infrared few-cycle laser pulses, we determined the spin-orbit splitting energies in the electronic ground states of ${\mathrm{Ar}}^{+}$, ${\mathrm{Kr}}^{+}$, and ${\mathrm{Kr}}^{2+}$ with high precision. For ${\mathrm{Ar}}^{+}$ and ${}^{84}\mathrm{Kr}^{+}$, the spin-orbit splitting energies for ${}^{2}P_{1/2}-{}^{2}P_{3/2}$ were determined to be 1431.583 33(12) and $5370.29642\left(50\right)\mathrm{c}{\mathrm{m}}^{\text{–}1}$ and the isotope effect was examined for ${}^{83}\mathrm{Kr}^{+}$, ${}^{84}\mathrm{Kr}^{+}$, and ${}^{86}\mathrm{Kr}^{+}$. For ${}^{84}\mathrm{Kr}^{2+}$, the spin-orbit splitting energies for ${}^{3}P_1-{}^{3}P_2$ and ${}^{3}P_0-{}^{3}P_2$ were determined to be 4548.2144(40) and $5312.8059\left(40\right)\mathrm{c}{\mathrm{m}}^{\text{–}1}$, respectively.

中文翻译：

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强场超高分辨率傅里叶变换光谱测定Ar+、Kr+和Kr2+的自旋轨道分裂

通过对收益率的傅立叶变换 ${\mathrm{氩气}}^{2+}$ 和 ${氪}^{2+}$ 通过使用强近红外少周期激光脉冲的泵浦探针测量获得，我们确定了电子基态中的自旋轨道分裂能 ${\mathrm{氩气}}^{+}$, ${氪}^{+}$， 和 ${氪}^{2+}$高精度。为了${\mathrm{氩气}}^{+}$ 和 ${}^{84}氪^{+}$，自旋轨道分裂能为 ${}^2磷_{1/2}-{}^2磷_{3/2}$ 被确定为 1431.583 33(12) 和 $5370.29642\left(50\right)\mathrm{C}{\mathrm{米}}^{\text{——}1}$ 并检查了同位素效应 ${}^{83}氪^{+}$, ${}^{84}氪^{+}$， 和 ${}^{86}氪^{+}$. 为了${}^{84}氪^{2+}$，自旋轨道分裂能为 ${}^3磷_1-{}^3磷_2$ 和 ${}^3磷_0-{}^3磷_2$ 被确定为 4548.2144(40) 和 $5312.8059\left(40\right)\mathrm{C}{\mathrm{米}}^{\text{——}1}$， 分别。