The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen
High Energy Physics - Phenomenology
2008-11-26 v2
Abstract
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 \pm 0.014 fm.
Cite
@article{arxiv.hep-ph/9911277,
title = {The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen},
author = {Kirill Melnikov and Timo van Ritbergen},
journal= {arXiv preprint arXiv:hep-ph/9911277},
year = {2008}
}
Comments
4 pages, 1 figure, revtex