Non-perturbative evaluation of some QED contributions to the muonic hydrogen $\mathbf{n}=2$ Lamb shift and hyperfine structure

Abstract

The largest contributions to the $n=2$ Lamb-shift, fine structure interval and $2s$ hyperfine structure of muonic hydrogen are calculated by exact numerical evaluations of the Dirac equation, rather than by a perturbation expansion in powers of $1/c$, in the framework of non-relativistic quantum electrodynamics. Previous calculations and the validity of the perturbation expansion for light elements are confirmed. The dependence of the various effects on the nuclear size and model are studied

Some minor corrections

References in corpus (15)

• High-precision determination of the electric and magnetic form factors of the proton
• Global analysis of proton elastic form factor data with two-photon exchange corrections
• Dispersion analysis of the nucleon form factors including meson continua
• Muonic hydrogen and MeV forces
• The RMS Charge Radius of the Proton and Zemach Moments
• New Parity-Violating Muonic Forces
• Proton size anomaly
• Spectroscopy as a test of Coulomb's law - A probe of the hidden sector
• Atomic Precision Tests and Light Scalar Couplings
• Updated dispersion-theoretical analysis of the nucleon electromagnetic form factors
• Proton structure corrections to electronic and muonic hydrogen hyperfine splitting
• Chiral extrapolation of octet-baryon charge radii
• QED is not endangered by the proton's size
• X-ray energies of circular transitions and electrons screening in kaonic atoms
• Third Zemach Moment of the Proton

Cited by in corpus (27)

• QED tests with highly-charged ions
• Model independent extraction of the proton magnetic radius from electron scattering
• Theory of the n=2 levels in muonic deuterium
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• The proton structure in and out of muonic hydrogen
• Three-photon exchange nuclear structure correction in hydrogenic systems
• $\mu -H$ Lamb shift: dispersing the nucleon-excitation uncertainty with a finite energy sum rule
• The proton radius (puzzle?) and its relatives
• Testing Quantum Electrodynamics with Exotic Atoms
• The measurement of the quadrupole moment of 185-Re and 187-Re from the hyperfine structure of muonic X rays
• 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
• Radiative nonrecoil nuclear finite size corrections of order $\alpha (Z\alpha {)}^5$ to the hyperfine splitting of S-states in muonic hydrogen
• Model-independent determination of the two-photon exchange contribution to hyperfine splitting in muonic hydrogen
• Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
• Coordinate-space approach to vacuum polarization
• Hyperfine structure of P-states in muonic deuterium
• Towards Precision Muonic X-Ray Measurements of Charge Radii of Light Nuclei
• Theoretical prediction of the Fine and Hyperfine structure of heavy muonic atoms
• Deuterium spectroscopy for enhanced bounds on physics beyond the Standard Model
• Higher-order corrections for the dynamic hyperfine structure of muonic atoms
• Effects of Non-Commutativity on Light-Hydrogen-Like Atoms and Proton Radius
• Access to improve the muon mass and magnetic moment anomaly via the bound-muon $g$ factor
• Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium
• On the vacuum-polarization Uehling potential for a Fermi charge distribution
• Relativistic density functional theory with finite-light-speed correction for the Coulomb interaction: a non-relativistic-reduction based approach
• Vacuum polarization corrections to hyperfine structure in many-electron atoms