Abstract Using the saddle-point variation and saddle-point complex-rotation methods, energies, radiative, and Auger rates are calculated for the doubly-excited states 1s23l4l′ of beryllium-like ions. The total wave function is expanded by the restricted variation method to saturate the functional space and improve the nonrelativistic energy. Relativistic corrections and mass polarization effects are taken into account by the first-order perturbation theory. The partial Auger rates for these states are studied. The calculated Auger electron energies are compared with the experimental results which are observed in high resolution electron spectroscopy. The total radiative rates and the total Auger rates for these doubly-excited states 1s23l4l′ in the beryllium-like ions are also analyzed along with the increase of atomic number Z. Calculated results show that the total Auger rates are several orders of magnitude larger than the total radiative rates for these low-Z systems.

中文翻译：

---

类铍离子1s23l4l'态原子谱的理论计算

摘要 使用鞍点变化和鞍点复旋转方法，计算了类铍离子的双激发态 1s23l4l' 的能量、辐射率和俄歇率。通过限制变分法对总波函数进行扩展，使函数空间饱和，提高非相对论能量。一阶微扰理论考虑了相对论校正和质量极化效应。研究了这些状态的部分俄歇速率。将计算出的俄歇电子能量与高分辨率电子能谱中观察到的实验结果进行比较。随着原子序数Z的增加，还分析了类铍离子中这些双激发态1s23l4l'的总辐射率和总俄歇率。