Lamb Shift in Light Muonic Atoms - Revisited

Abstract

In connection with recent and proposed experiments, and new theoretical results, my previous calculations of the Lamb shift in muonic hydrogen will be reviewed and compared with other work. In addition, numerical results for muonic deuterium and helium will be presented. Some previously neglected (but very small) effects are included.

41 pages. This paper has appeared in Annals of Physics, vol. 327, pp 733-763 (2012). The present version has corrected several misprints, and updated some references to take into account new results

References in corpus (11)

• High-precision determination of the electric and magnetic form factors of the proton
• The RMS Charge Radius of the Proton and Zemach Moments
• Higher order proton structure corrections to the Lamb shift in muonic hydrogen
• Lamb Shift in Muonic Hydrogen. I. Verification and Update of Theoretical Predictions
• Nuclear structure corrections in muonic deuterium
• Proton structure corrections to hyperfine splitting in muonic hydrogen
• Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
• Non-relativistic contributions in order ${\alpha }^5{m}_{\mu }{c}^2$ to the Lamb shift in muonic hydrogen, deuterium and helium ion
• Contribution of Light-by-Light Scattering to Energy Levels of Light Muonic Atoms
• Non-Perturbative Relativistic Calculation of the Muonic Hydrogen Spectrum
• New Evaluation of Proton Structure Corrections to Hydrogen Hyperfine Splitting

Cited by in corpus (69)

• CODATA Recommended Values of the Fundamental Physical Constants: 2010
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• The proton charge radius
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Nucleon Polarizabilities: from Compton Scattering to Hydrogen Atom
• Model independent extraction of the proton magnetic radius from electron scattering
• Laboratory tests of Lorentz and CPT symmetry with muons
• Theory of the n=2 levels in muonic deuterium
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Nuclear structure contribution to the Lamb shift in muonic deuterium
• Proton Polarizability Contribution: Muonic Hydrogen Lamb Shift and Elastic Scattering
• The proton structure in and out of muonic hydrogen
• Three-photon exchange nuclear structure correction in hydrogenic systems
• Non-perturbative evaluation of some QED contributions to the muonic hydrogen $\mathbf{n}=2$ Lamb shift and hyperfine structure
• $\mu -H$ Lamb shift: dispersing the nucleon-excitation uncertainty with a finite energy sum rule
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• Improved estimates of the nuclear structure corrections in $\mu$D
• Nuclear Polarization Corrections to mu-d Atoms in Zero-Range Approximation
• Ab initio calculation of nuclear structure corrections in 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
• The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
• The Lamb shift in muonic hydrogen and the proton radius from effective field theories
• Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions
• Nuclear structure corrections to the Lamb shift in ${\mu }^3$He${}^{+}$ and ${\mu }^3$H
• The ${\alpha }^2(Z\alpha {)}^{4}m$ contributions to the Lamb shift and the fine structure in light muonic atoms
• Hyperfine structure of S-states in muonic deuterium
• Model-independent determination of the two-photon exchange contribution to hyperfine splitting in muonic hydrogen
• Lamb shift in muonic ions of lithium, beryllium and boron
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen
• Quantum interference effects in laser spectroscopy of muonic hydrogen, deuterium, and helium-3
• The contribution of axial-vector mesons to hyperfine structure of muonic hydrogen
• Coordinate-space approach to vacuum polarization
• Theory of the n=2 levels in muonic helium-3 ions
• Why three-body physics do not solve the proton radius puzzle
• Weak Interaction Contributions in Light Muonic Atoms
• Zemach moments and radii of 2,3H and 3,4He
• The contribution of pseudoscalar mesons to hyperfine structure of muonic hydrogen
• Nonidentical protons
• Hyperfine structure of P-states in muonic deuterium
• Deuteron charge radius from the Lamb-shift measurement in muonic deuterium
• Model independent determination of the muonic hydrogen Lamb shift and proton radius
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Higher-order corrections for the dynamic hyperfine structure of muonic atoms
• Hyperfine structure of S-states in muonic ions of lithium, beryllium and boron
• Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution
• Nuclear polarization effects in muonic atoms
• Axial-vector exchange contribution to the Hyperfine Splitting
• The isotopic effects in the scattering and the kinetics of the atomic cascade
• Nuclear Quasi-Elastic Electron Scattering Limits Nucleon Off-Mass Shell Properties
• Relativistic and Recoil Corrections to Vacuum polarization in muonic systems: Three--photon exchange, gauge invariance and numerical values
• Hyperfine structure of P states in muonic ions of lithium, beryllium and boron
• Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
• Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• Relativistic recoil effects in a muonic atom within a Grotch-type approach: General approach
• Relativistic recoil effects for energy levels in a muonic atom within a Grotch-type approach: An application to the one-loop electronic vacuum polarization
• Relativistic corrections to vacuum polarization contributions in muonic hydrogen
• Energy interval 3S-1S in muonic hydrogen
• Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems
• Laser excitation of the 1s-hyperfine transition in muonic hydrogen
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• The contribution of pseudoscalar and axial-vector mesons to hyperfine structure of muonic hydrogen
• Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems
• Reply to "Comment on `Breakdown of the expansion of finite-size corrections to the hydrogen Lamb shift in moments of charge distribution'"
• Relativistic fine structure of the (He4,mu) ion 2p-levels
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles
• Vacuum polarization corrections to the $n=2$ and $n=3$ levels in muonic ${}^4$He