Three-Loop Reducible Radiative Photon Contributions to Lamb Shift and Hyperfine Splitting

Abstract

Corrections of order ${\alpha }^3(Z\alpha {)}^{5}m$ to the Lamb shift and corrections of order ${\alpha }^3(Z\alpha )E_F$ to hyperfine splitting generated by the insertions of the three-loop one-particle reducible diagrams with radiative photons in the electron line are calculated. The calculations are performed in the Yennie gauge.

8 pages, 2 figures

References in corpus (5)

• Two-Loop Bethe Logarithms
• Asymptotic properties of self-energy coefficients
• Perturbation Approach to the Self Energy of non-S Hydrogenic States
• New Polarization Operator Contributions to Lamb Shift and Hyperfine Splitting
• Extrapolation of the Zalpha-Expansion and Two--Loop Bound--State Energy Shifts

Cited by in corpus (7)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Theory of the Lamb shift in hydrogen and light hydrogen-like ions
• Two-Loop Bethe Logarithms for Higher Excited S Levels
• Three-Loop Radiative Corrections to Lamb Shift and Hyperfine Splitting
• Some Recent Advances in Bound-State Quantum Electrodynamics
• Three-Loop Contribution to Hyperfine Splitting in Muonium: Polarization Corrections to Light by Light Scattering Blob