Three-Loop Slope of the Dirac Form Factor and the1SLamb Shift in Hydrogen | Zendy

Kirill Melnikov | Zendy; Timo van Ritbergen | Zendy

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Three-Loop Slope of the Dirac Form Factor and the1SLamb Shift in Hydrogen

Author(s) -

Kirill Melnikov,

Timo van Ritbergen

Publication year - 2000

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.84.1673

Subject(s) - radius , physics , charge radius , dirac (video compression format) , energy (signal processing) , order (exchange) , charge (physics) , hydrogen , proton , atomic physics , mathematical physics , quantum mechanics , neutrino , computer security , finance , computer science , economics

The last unknown contribution to hydrogen energy levels at order mα^{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.

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