Proton Radius, Darwin-Foldy Term and Radiative Corrections

Abstract

We discuss the role of the so-called Darwin-Foldy term in the evaluation of the proton and deuteron charge radii from atomic hydrogen spectroscopy and nuclear scattering data. The question of whether this term should be included or excluded from the nuclear radius has been controversially discussed in the literature. We attempt to clarify which literature values correspond to which conventions. A detailed discussion of the conventions appears useful because a recent experiment [R. Pohl et al., Nature vol. 466, p. 213 (2010)] has indicated that there is a discrepancy between the proton charge radii inferred from ordinary ("electronic") atomic hydrogen and muonic hydrogen. We also investigate the role of quantum electrodynamic radiative corrections in the determination of nuclear radii from scattering data, and propose a definition of the nuclear self energy which is compatible with the subtraction of the radiative corrections in scattering experiments.

8 pages, LaTeX, EPJD style

References in corpus (2)

• High-precision determination of the electric and magnetic form factors of the proton
• Precise calculation of transition frequencies of hydrogen and deuterium based on a least-squares analysis

Cited by in corpus (15)

• High Precision Measurement of the Proton Elastic Form Factor Ratio ${\mu }_p{G}_E/G_M$ at low $Q^2$
• Uncertainty analysis and order-by-order optimization of chiral nuclear interactions
• The RMS Charge Radius of the Proton and Zemach Moments
• Model independent analysis of proton structure for hydrogenic bound states
• Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
• Theory of the n=2 levels in muonic deuterium
• Comprehensive theory of the Lamb shift in light muonic atoms
• Theory of the Lamb shift and Fine Structure in muonic ${}^4\mathrm{He}$ ions and the muonic ${}^3\mathrm{He}{-}^4\mathrm{He}$ Isotope Shift
• XUV frequency comb metrology on the ground state of helium
• Low-energy nuclear physics and global neutron star properties
• Theory of the n=2 levels in muonic helium-3 ions
• Light Sea Fermions in Electron-Proton and Muon-Proton Interactions
• Proton Radius: A Puzzle or a Solution!?
• Equivalence Principle for Antiparticles and its Limitations
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles