类氢离子中的二级电子自能
The second-order electron self-energy in hydrogen-like ions
摘要：
本文计算了核电荷数为$3 \leq Z \leq 92$的类氢离子的二阶电子自能的最简单部分（环接环不可约贡献）。这是对重单电子离子更复杂的二阶自能部分（环内环和交叉环贡献）的测试。我们的研究结果是在强烈的分歧与最近的计算Mallampalli和Sapirstein低$Z$值，但与两个已知的条款的分析$Zα$ -扩展兼容。
英文摘要：
A calculation of the simplest part of the second-order electron self-energy (loop after loop irreducible contribution) for hydrogen-like ions with nuclear charge numbers $3 \leq Z \leq 92$ is presented. This serves as a test for the more complicated second-order self-energy parts (loop inside loop and crossed loop contributions) for heavy one-electron ions. Our results are in strong disagreement with recent calculations of Mallampalli and Sapirstein for low $Z$ values but are compatible with the two known terms of the analytical $Zα$-expansion.
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