Nuclear recoil effect in the Lamb shift of light hydrogen-like atoms

Abstract

We report high-precision calculations of the nuclear recoil effect to the Lamb shift of hydrogen-like atoms to the first order in the electron-nucleus mass ratio and to all orders in the nuclear binding strength parameter $Z\alpha$. The results are in excellent agreement with the known terms of the $Z\alpha$ expansion and allow an accurate identification of the nonperturbative higher-order remainder. For hydrogen, the higher-order remainder was found to be much larger than anticipated. This result resolves the long-standing disagreement between the numerical all-order and the analytical $Z\alpha$-expansion approaches to the recoil effect and completely removes the second-largest theoretical uncertainty in the hydrogen Lamb shift of the $1S$ and $2S$ states.

with proof corrections

Cited by in corpus (24)

• Search for New Physics with Atoms and Molecules
• QED tests with highly-charged ions
• Theory of the Lamb shift in hydrogen and light hydrogen-like ions
• A tabulation of the bound-state energies of atomic hydrogen
• Three-photon exchange nuclear structure correction in hydrogenic systems
• Higher-order recoil corrections for triplet states of the helium atom
• 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 proton radius (puzzle?) and its relatives
• Recoil effect on the g factor of Li-like ions
• The Lamb shift of the $1s$ state in hydrogen: two-loop and three-loop contributions
• Probing new physics using Rydberg states of atomic hydrogen
• Theory of the n=2 levels in muonic helium-3 ions
• Nuclear recoil corrections to the Lamb shift of hydrogen and light hydrogen-like ions
• Calculations of QED effects with the Dirac Green function
• QED theory of the nuclear recoil with finite size
• Model-QED-operator approach to relativistic calculations of the nuclear recoil effect in many-electron atoms and ions
• QED theory of the specific mass shift in atoms
• QED calculations of the nuclear recoil effect in muonic atoms
• Recoil corrections to the energy levels of hydrogenic atoms
• Quantum electrodynamics of two-body systems with arbitrary masses
• QED calculations of the nuclear recoil effect on the bound-electron $g$ factor
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• Precision Nuclear-Spin Effects in Atoms: EFT Methods for Reducing Theory Errors
• Energy interval 3S-1S in muonic hydrogen