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Radiative-recoil contributions to Lamb shift

Thesis/Dissertation ·
OSTI ID:5161577
The proton mass contributions to the radiative Lamb shift in hydrogen are considered. A uniform procedure is developed to incorporate such contributions in the standard program for obtaining the non-recoil shift. The Grotch-Yennie equation is chosen as the unperturbed equation for the hydrogen atom. This equation includes the Coulomb and the convection potentials produced by the massive proton in motion. The radiative-corrections then produce the desired radiative-recoil contributions. The complete lowest order (..cap alpha..(Z..cap alpha..)/sup 4/m/sup 2//M) contributions as well as part of the higher order (..cap alpha..(Z..cap alpha..)/sup 5/m/sup 2//M contributions are derived, analytically, in the so-called external-field approximation. In order to obtain the complete ..cap alpha..(Z..cap alpha..)/sup 5/m/sup 2//M contributions, the author considers the perturbation kernels, involving the two-photon exchange diagrams, which are not included in the external-field approximation calculation. This is done by employing the Fried-Yennie gauge for the radiative photon and the Coulomb gauge for the exchanged photons. The subtleties of this calculation are discussed.
Research Organization:
Pennsylvania State Univ., University Park (USA)
OSTI ID:
5161577
Country of Publication:
United States
Language:
English