Expansion of bound-state energies in powers of m/M.
Expansion of bound-state energies in powers of m/M.
复制标题
束缚态能量的展开，以 m/M 次方表示。
DOI：
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发表时间：
2000
影响因子：
8.6
通讯作者：
K. Melnikov
中科院分区：
文献类型：
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作者：
Andrzej Czarnecki;K. Melnikov
我们描述了一种计算质量为M和m的两个组分的非相对论束束态能级的新方法，它是通过m/M的系统展开来计算的。在讨论了这种方法之后，我们用一个与氢、介子氢和µ离子相关的兰姆位移和超精细分裂的辐射反冲修正的例子证明了这种方法的潜力。解决了以前两次计算O(α(Zα)5m~2/M)辐射反冲修正对Lamb位移的差异，得到了O(α(Zα)5m~4/m~3)和更高的几个新项。
We describe a new approach to computing energy levels of a nonrelativistic bound state of two constituents with masses M and m, by a systematic expansion in powers of m/M. After discussing the method, we demonstrate its potential with an example of the radiative recoil corrections to the Lamb shift and hyperfine splitting relevant for the hydrogen, muonic hydrogen, and muonium. A discrepancy between two previous calculations of O(alpha(Zalpha)5m2/M) radiative recoil corrections to the Lamb shift is resolved and several new terms of O(alpha(Zalpha)5m4/M3) and higher are obtained.