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.

arXiv comment21 pages, 4 figures, matched the published version

References in corpus (74)

• An accurate nucleon-nucleon potential with charge-independence breaking
• Modern Theory of Nuclear Forces
• Chiral effective field theory and nuclear forces
• Theory of Light Hydrogenlike Atoms
• Nuclear effective field theory: status and perspectives
• High-precision determination of the electric and magnetic form factors of the proton
• Improved Measurement of the Hydrogen 1S - 2S Transition Frequency
• Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors
• Muonic hydrogen and the proton radius puzzle
• The electric and magnetic form factors of the proton
• The Proton Radius Puzzle
• New measurement of the $1S-3S$ transition frequency of hydrogen: contribution to the proton charge radius puzzle
• Dispersion analysis of the nucleon form factors including meson continua
• Theory of the 2S-2P Lamb shift and 2S hyperfine splitting in muonic hydrogen
• Proton structure effects in muonic hydrogen
• Proton-Electron Mass Ratio from Laser Spectroscopy of HD${}^{+}$ at the Part-Per-Trillion Level
• Phenomenology of the Deuteron Electromagnetic Form Factors
• Theoretical Constraints and Systematic Effects in the Determination of the Proton Form Factors
• Higher order proton structure corrections to the Lamb shift in muonic hydrogen
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Higher-order binding corrections to the Lamb shift of 2P states
• QED theory of the nuclear recoil effect in atoms
• Testing fundamental interactions on the helium atom
• 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
• Chiral perturbation theory of muonic hydrogen Lamb shift: polarizability contribution
• Measurement of the $2$S${}_{1/2}-8$D${}_{5/2}$ transition in hydrogen
• Theory of the n=2 levels in muonic deuterium
• The two-photon exchange contribution to muonic hydrogen from chiral perturbation theory
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Sixth-Order Vacuum-Polarization Contribution to the Lamb Shift of the Muonic Hydrogen
• Nuclear structure corrections in muonic deuterium
• Nuclear structure contribution to the Lamb shift in muonic deuterium
• Three-photon exchange nuclear structure correction in hydrogenic systems
• Complete ${\alpha }^{7}m$ Lamb shift of helium triplet states
• High-accuracy calculation of the deuteron charge and quadrupole form factors in chiral effective field theory
• Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future
• $\mu -H$ Lamb shift: dispersing the nucleon-excitation uncertainty with a finite energy sum rule
• Nuclear polarization corrections in the mu-4He+ Lamb shift
• 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 the Lamb shift and hyperfine splitting of S levels
• Ab initio calculation of nuclear structure corrections in muonic atoms
• Relativistic Reduced-Mass and Recoil Corrections to Vacuum Polarization in Muonic Hydrogen, Muonic Deuterium and Muonic Helium Ions
• 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
• Non-relativistic contributions in order ${\alpha }^5{m}_{\mu }{c}^2$ to the Lamb shift in muonic hydrogen, deuterium and helium ion
• The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
• Two-photon exchange correction to muon-proton elastic scattering at low momentum transfer
• 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
• Second-order corrections to the wave function at origin in muonic hydrogen and pionium
• Proton Radius, Darwin-Foldy Term and Radiative Corrections
• Theory of the n=2 levels in muonic helium-3 ions
• Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory
• Semi-Analytic Approach to Higher-Order Corrections in Simple Muonic Bound Systems: Vacuum Polarization, Self-Energy and Radiative-Recoil
• QED theory of the nuclear recoil with finite size
• Deuteron charge radius from the Lamb-shift measurement in muonic deuterium
• 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
• Sum rules across the unpolarized Compton processes involving generalized polarizabilities and moments of nucleon structure functions
• Lattice QCD calculation of the two-photon exchange contribution to the muonic-hydrogen Lamb shift
• Probing uncertainties of nuclear structure corrections in light muonic atoms
• 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
• The subtraction contribution to the muonic-hydrogen Lamb shift: a point for lattice QCD calculations of the polarizability effect
• 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
• New sum rule for the nuclear magnetic polarizability
• Paving the way for fundamental physics tests with singly-ionized helium
• 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