Dispersive evaluation of the Lamb shift in muonic deuterium from chiral effective field theory

Abstract

We merge the dispersive relation approach and the ab initio method to compute nuclear structure corrections to the Lamb shift in muonic deuterium. We calculate the deuteron response functions and corresponding uncertainties up to next-to-next-to-next-to-leading order in chiral effective field theory and compare our results to selected electromagnetic data to test the validity of the theory. We then feed response functions calculated over a wide range of kinematics to the dispersion-theory formalism and show that an improved accuracy is obtained compared to that with the use of available experimental data in the dispersive analysis. This opens up the possibility of applying this hybrid method to other light muonic atoms and supplementing experimental data with ab initio theory for kinematics where data are scarce or difficult to measure with the goal of reducing uncertainties in estimates of nuclear structure effects in atomic spectroscopy.

arXiv comment17 pages, 4 figures; published version

References in corpus (27)

• An accurate nucleon-nucleon potential with charge-independence breaking
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Precision nucleon-nucleon potential at fifth order in the chiral expansion
• High-quality two-nucleon potentials up to fifth order of the chiral expansion
• Dispersion relations in real and virtual Compton scattering
• Low energy analysis of the nucleon electromagnetic form factors
• Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei
• Electromagnetic Form Factors of the Nucleon and Compton Scattering
• Two-pion exchange electromagnetic current in chiral effective field theory using the method of unitary transformation
• Phenomenology of the Deuteron Electromagnetic Form Factors
• Proton polarisability contribution to the Lamb shift in muonic hydrogen at fourth order in chiral perturbation theory
• Higher order proton structure corrections to the Lamb shift in muonic hydrogen
• Electromagnetic two-body currents of one- and two-pion range
• Theory of the n=2 levels in muonic deuterium
• Parameterization and applications of the low-$Q^2$ nucleon vector form factors
• Nuclear structure corrections in muonic deuterium
• Nuclear structure contribution to the Lamb shift in muonic deuterium
• Nuclear structure effects in light muonic atoms
• 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
• The deuteron-radius puzzle is alive: A new analysis of nuclear structure uncertainties
• Dispersion Theory in Electromagnetic Interactions
• Nuclear Polarizabilities and Logarithmic Sum Rules
• Neutrino-deuteron scattering: Uncertainty quantification and new $L_{1,A}$ constraints
• Probing uncertainties of nuclear structure corrections in light muonic atoms
• New sum rule for the nuclear magnetic polarizability

Cited by in corpus (10)

• Comprehensive theory of the Lamb shift in light muonic atoms
• QED theory of the nuclear recoil with finite size
• Muonic vs electronic dark forces: a complete EFT treatment for atomic spectroscopy
• Bayesian analysis of nuclear polarizability corrections to the Lamb shift of muonic H-atoms and He-ions
• Calculations of $p(n,\gamma )d$ reaction in chiral effective field theory
• 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
• Expanding proton dripline by employing a number of muons
• A reassessment of nuclear effects in muonic deuterium using pionless effective field theory at N3LO
• Gaussian process error modeling for chiral effective-field-theory calculations of $np\leftrightarrow d\gamma$ at low energies