We present a state-of-the-art theory of tunneling ionization of the hydrogen molecule in a static electric field. The theory is based on the leading-order many-electron weak-field asymptotic theory and successively incorporates core polarization, spectator nucleus, and internuclear motion effects. The predictions of the theory are compared with ab initio calculations of the ionization rate of ${\mathrm{H}}_2$ with frozen nuclei and experimental results on the anisotropy of strong-field ionization of ${\mathrm{H}}_2$ and ${\mathrm{D}}_2$. The comparison reveals the relative role of the different effects. We show that all the effects should be taken into account in order to achieve good agreement with the ab initio and experimental results.

中文翻译：

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氢分子隧穿电离的弱场渐近理论，包括核心极化，旁观者核和核间运动效应

我们提出了在静态电场中氢分子隧穿电离的最新理论。该理论基于前导多电子弱场渐近理论，并相继纳入了磁芯极化，旁观者核和核间运动效应。将该理论的预测与从头算的离子电离速率进行了比较。${\mathrm{H}}_{\mathrm{2个}}$ 原子核的冷冻和实验结果对强磁场电离各向异性的影响 ${\mathrm{H}}_{\mathrm{2个}}$ 和 ${\mathrm{d}}_{\mathrm{2个}}$。比较揭示了不同效果的相对作用。我们表明，应考虑所有影响，以便与从头算和实验结果取得良好的一致性。