Calculation of the electron self-energy for low nuclear charge

被引：108
作者：
Jentschura, UD [1 ]
Mohr, PJ
Soff, G
机构：
[1] Natl Inst Stand & Technol, Gaithersburg, MD 20899 USA
[2] TU Dresden, Inst Theoret Phys, D-01062 Dresden, Germany
来源：
PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 01期
关键词：
D O I：
10.1103/PhysRevLett.82.53
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a nonperturbative numerical evaluation of the one-photon electron self-energy for hydrogenlike ions with low nuclear charge numbers Z = 1 to 5. Our calculation for the 1S state has a numerical uncertainty of 0.8 Hz for hydrogen and 13 Hz for singly ionized helium. Resummation and convergence acceleration techniques that reduce the computer time by about 3 orders of magnitude were employed in the calculation. The numerical results are compared to results based on known terms in the expansion of the self-energy in powers of Z alpha. [S0031-9007(98)08043-0].
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页码：53 / 56
页数：4
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