Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogenlike ions

Two-loop self-energy in the Lamb shift of the ground and excited states of hydrogenlike ions
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类氢离子基态和激发态兰姆位移的双环自能

DOI:
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发表时间:
2018
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通讯作者:
V. Yerokhin
V. Yerokhin
中科院分区:
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文献类型:
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作者:
V. Yerokhin

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计算了类氢离子1 s $,2s $和2 p_{1/2}$态和核电荷数Z = 30$-100 $的兰姆位移的双圈自能修正。对核结合强度参数$Zalpha$中的所有阶次进行计算。与以往的计算结果相比,数值精度提高了一个数量级,核电荷的范围也扩大了。分析的$Z$-依赖所获得的结果表明,它们与已知的$Zalpha$-展开系数的一致性。
The two-loop self-energy correction to the Lamb shift of hydrogen-like ions is calculated for the $1s$, $2s$, and $2p_{1/2}$ states and nuclear charge numbers $Z = 30$-$100$. The calculation is performed to all orders in the nuclear binding strength parameter $Zalpha$. As compared to previous calculations of this correction, numerical accuracy is improved by an order of magnitude and the region of the nuclear charges is extended. An analysis of the $Z$-dependence of the obtained results demonstrates their consistency with the known $Zalpha$-expansion coefficients.