Theory of the n=2 levels in muonic deuterium

Abstract

The present knowledge of Lamb shift, fine- and hyperfine structure of the $2S$ and $2P$ states in muonic deuterium is reviewed in anticipation of the results of a first measurement of several $2S-2P$ transition frequencies in muonic deuterium ($\mu \mathrm{d}$). A term-by-term comparison of all available sources reveals reliable values and uncertainties of the QED and nuclear structure-dependent contributions to the Lamb shift, which are essential for a determination of the deuteron rms charge radius from $\mu \mathrm{d}$. Apparent discrepancies between different sources are resolved, in particular for the difficult two-photon exchange contributions. Problematic single-sourced terms are identified which require independent recalculation.

26 pages, add missing feynman diagrams (Fig. 3), renumber items (Tab. IV), correct a sum (column 5, Tab. IV)

References in corpus (9)

• High-precision determination of the electric and magnetic form factors of the proton
• The Proton Radius Puzzle
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Spectroscopy of atomic hydrogen. How is the Rydberg constant determined?
• Nuclear structure effects in light muonic atoms
• Improved estimates of the nuclear structure corrections in $\mu$D
• Hyperfine structure of S-states in muonic deuterium
• Hyperfine structure of P-states in muonic deuterium
• The recoil correction to the proton-finite-size contribution to the Lamb shift in muonic hydrogen

Cited by in corpus (39)

• Electrophobic Scalar Boson and Muonic Puzzles
• Three-photon exchange nuclear structure correction in hydrogenic systems
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• Deuteron charge radius and Rydberg constant from spectroscopy data in atomic deuterium
• Two-photon exchange correction to the Lamb shift and hyperfine splitting of S levels
• 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 next generation of laser spectroscopy experiments using light muonic atoms
• 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
• Lamb shift in muonic ions of lithium, beryllium and boron
• Nuclear-structure corrections to the hyperfine splitting in muonic deuterium
• Two-photon exchange corrections to elastic $e^{-}$-proton scattering: Full dispersive treatment of $\pi N$ states at low momentum transfers
• Theory of the n=2 levels in muonic helium-3 ions
• Experiments towards resolving the proton charge radius puzzle
• Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory
• Accommodating three low-scale anomalies (g-2, Lamb shift, and Atomki) in the framed standard model
• Deuteron charge radius from the Lamb-shift measurement in muonic deuterium
• Probing New Physics with Long-Range Neutrino Interactions: An Effective Field Theory Approach
• Muonic vs electronic dark forces: a complete EFT treatment for atomic spectroscopy
• Deuterium spectroscopy for enhanced bounds on physics beyond the Standard Model
• Corrections of two-photon interactions in the fine and hyperfine structure of the P-energy levels of muonic hydrogen
• Eta Decay and Muonic Puzzles
• Update on nuclear structure effects in light muonic atoms
• Deuteron properties from muonic atom spectroscopy
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• A theory vade mecum for PSI experiments
• Relativistic and Recoil Corrections to Vacuum polarization in muonic systems: Three--photon exchange, gauge invariance and numerical values
• Ground state hyperfine structure of light muon-electron ions
• Vacuum polarization and quadrupole corrections to the hyperfine splitting of P-states in muonic deuterium
• Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium
• Quantum Gravity Constraints on Fine Structure Constant from GUP in Braneworlds
• The Muon Experimental Anomalies Are Explained by a New Interaction Proportional to Charge
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Relativistic and Recoil Corrections to Light-Fermion Vacuum Polarization for Bound Systems of Spin-0, Spin-1/2, and Spin-1 Particles
• A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO
• Nuclear deformation effects on charge radius measurements of the proton and deuteron
• Tensor Polarizability of the Nucleus and Angular Mixing in Muonic Deuterium