论文标题
后坐力校正氢原子的能级
Recoil corrections to the energy levels of hydrogenic atoms
论文作者
论文摘要
我们已经完成了对$(zα)^6 $的纯回路校正的计算,该级别的库仑结合状态在两个spin-1/2 fermions的库仑结合状态中,而粒子质量中没有近似值。我们的结果适用于任意质量比的系统,例如Muonium和Potronium,以及氢和Muonic氢(忽略了质子结构效应)。我们已经展示了如何以分析形式计算出在相对论区域中发生的双环主积分,并建议可以将相同的方法应用于三环积分,以计算$(zα)^7 $更正的顺序(zα)^7 $。
We have completed the calculation of pure-recoil corrections of order $(Z α)^6$ 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, and also 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 $(Z α)^7$ corrections.