The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen

Details The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen The three loop slope of the Dirac form factor and the 1S Lamb shift in hydrogen

1999-11-09

arxiv.org/abs/hep-ph/9911277v2

Phys.Rev.Lett.84:1673-1676,2000

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 1 figure, revtex

Scientific paper

10.1103/PhysRevLett.84.1673

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.

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