Three-loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen

被引：93

作者：

Melnikov, K ^{[1
]}

van Ritbergen, T

机构：

[1] Stanford Univ, Stanford Linear Accelerator Ctr, Stanford, CA 94309 USA

[2] Univ Karlsruhe, Inst Theoret Teilchenphys, D-76128 Karlsruhe, Germany

来源：

PHYSICAL REVIEW LETTERS | 2000年 / 84卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.84.1673

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The last unknown contribution to hydrogen energy levels at order m alpha(7), due to the slope of the Dirac form factor at three loops, is evaluated in a closed analytical form. The resulting shift of the hydrogen nS energy level is found to be 3.016/n(3) kHz. Using the QED calculations of the 1S Lamb shift, we extract a precise value of the proton charge radius r(p) = 0.883 +/- 0.014 fm.

引用

页码：1673 / 1676

页数：4

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