Fourth-order self-energy contribution to the Lamb shift

被引:53
作者
Mallampalli, S [1 ]
Sapirstein, J [1 ]
机构
[1] Univ Notre Dame, Dept Phys, Notre Dame, IN 46556 USA
来源
PHYSICAL REVIEW A | 1998年 / 57卷 / 03期
关键词
D O I
10.1103/PhysRevA.57.1548
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Two-loop self-energy contributions to the fourth-order Lamb shift of ground-state hydrogenic ions are treated to all orders in Z alpha by using exact Dirac-Coulomb propagators. A rearrangement of the calculation into four ultraviolet finite parts, the M, P, F, and perturbed orbital (PO) terms, is made. Reference-state singularities present in the M and P terms are shown to cancel. The most computationally intensive part of the calculation, the M term, is evaluated for hydrogenlike uranium and bismuth, the F term is evaluated for a range of Z values, but the P term is left for a future calculation. For hydrogenlike uranium, previous calculations of the PO term give -0.971 eV: the contributions from the M and F terms calculated here sum to -0.325 eV. [S1050-2947(98)00303-5].
引用
收藏
页码:1548 / 1564
页数:17
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