Calculation of the electron self-energy for low nuclear charge

被引：106

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].

引用

页码：53 / 56

页数：4

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