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Title: Three-Loop Slope of the Dirac Form Factor and the 1S Lamb Shift in Hydrogen

Journal Article · · Physical Review Letters

The last unknown contribution to hydrogen energy levels at order m{alpha}{sup 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{sup 3} kHz . Using the QED calculations of the 1S Lamb shift, we extract a precise value of the proton charge radius r{sub p}=0.883{+-}0.014 fm . (c) 2000 The American Physical Society.

OSTI ID:
20215556
Journal Information:
Physical Review Letters, Vol. 84, Issue 8; Other Information: PBD: 21 Feb 2000; ISSN 0031-9007
Country of Publication:
United States
Language:
English

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