Recoil Corrections to the Energy Levels of Hydrogenic Atoms
Recoil Corrections to the Energy Levels of Hydrogenic Atoms
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DOI：
10.1103/physrevlett.130.023004
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发表时间：
2023-01-13
影响因子：
8.6
通讯作者：
Shinn, Evan
中科院分区：
文献类型：
--
作者：
Adkins, Gregory S.;Gomprecht, Jonathan;Shinn, Evan
我们计算了两个自旋为1=2的费米子在没有粒子质量近似的情况下对库仑束缚态的（Z α）6级纯反冲修正。我们的结果适用于任意质量比的系统，如μ素和正电子素，以及氢和μ子氢（忽略质子结构效应）。我们已经展示了如何在相对论性区域中出现的双环主积分可以以解析形式计算，并建议相同的方法可以应用于在（Z alpha）7阶修正的计算中出现的三环积分。
We have completed the calculation of pure-recoil corrections of order (Z alpha)6 to Coulombic bound states of two spin-1=2 fermions without approximation in the particle masses. Our result applies to systems of arbitrary mass ratio such as muonium and positronium, as well as hydrogen and muonic hydrogen (with the neglect of proton structure effects). We have shown how the two-loop master integrals that occur in the relativistic region can be computed in analytic form and suggest that the same method can be applied to the three-loop integrals that would be present in a calculation of order (Z alpha)7 corrections.