Comprehensive theory of the Lamb shift in light muonic atoms

Abstract

A comprehensive theory of the Lamb shift in light muonic atoms such as $\mu$H, $\mu$D, ${\mu }^3$He${}^{+}$, and ${\mu }^4$He${}^{+}$ is presented, with all quantum electrodynamic corrections included at the precision level constrained by the uncertainty of nuclear structure effects. This analysis can be used in the global adjustment of fundamental constants and in the determination of nuclear charge radii. Further improvements in the understanding of electromagnetic interactions of light nuclei will allow for a promising test of fundamental interactions by comparison with ``normal" atomic spectroscopy, in particular, with H-D and ${}^3$He-${}^4$He isotope shifts.

21 pages, 4 figures, matched the published version

References in corpus (27)

• Chiral effective field theory and nuclear forces
• High-precision determination of the electric and magnetic form factors of the proton
• The Proton Radius Puzzle
• Dispersion analysis of the nucleon form factors including meson continua
• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• New insights into the nucleon's electromagnetic structure
• Proton-electron mass ratio by high-resolution optical spectroscopy of ion ensembles in the resolved-carrier regime
• Measurement of the $2$S${}_{1/2}-8$D${}_{5/2}$ transition in hydrogen
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
• Complete ${\alpha }^{7}m$ Lamb shift of helium triplet states
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• Deuteron charge radius and Rydberg constant from spectroscopy data in atomic deuterium
• Nuclear structure effects in light muonic atoms
• Improved estimates of the nuclear structure corrections in $\mu$D
• Two-photon exchange correction to $2S$-$2P$ splitting in muonic helium-3 ions
• QED theory of the nuclear recoil with finite size
• The recoil correction to the proton-finite-size contribution to the Lamb shift in muonic hydrogen
• Model independent determination of the muonic hydrogen Lamb shift and proton radius
• Lattice QCD calculation of the two-photon exchange contribution to the muonic-hydrogen Lamb shift
• A self-consistent value of the electric radius of the proton from the Lamb shift in muonic hydrogen
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the Lamb shift in light muonic atoms
• Bayesian analysis of nuclear polarizability corrections to the Lamb shift of muonic H-atoms and He-ions
• Electromagnetic moments of the bound system of charged particles
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory

Cited by in corpus (16)

• Revised ${}^3$He nuclear charge radius due to electronic hyperfine mixing
• Two-loop electron self-energy for low nuclear charges
• Critical evaluation of reference charge radii and applications in mirror nuclei
• Revisiting the helium isotope-shift puzzle with improved uncertainties from nuclear structure corrections
• Two-body $P$-state energies at ${\alpha }^6$ order
• Sub-part-per-trillion test of the Standard Model with atomic hydrogen
• Relativistic and Recoil Corrections to Vacuum polarization in muonic systems: Three--photon exchange, gauge invariance and numerical values
• Zemach and Friar radii of the proton and neutron from lattice QCD
• Radiative Corrections and the Renormalization Group for the Two-Nucleon Interaction in Effective Field Theory
• Irreducible Three-Loop Vacuum-Polarization Correction in Muonic Bound Systems
• Reexamination of vacuum-polarization corrections to the self-energy in muonic bound systems
• Laser Excitation of Muonic 1S Hydrogen Hyperfine Transition: Effects of Multi-pass Cell Interference
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles
• Tensor Polarizability of the Nucleus and Angular Mixing in Muonic Deuterium
• Recoil corrections to $\mu$H hyperfine splitting
• Precision Spectroscopy of 2S-nS Transitions in Atomic Hydrogen: A Determination of the Proton Charge Radius