The Lamb shift of the 1s state in hydrogen: Two-loop and three-loop contributions

  title={The Lamb shift of the 1s state in hydrogen: Two-loop and three-loop contributions},
  author={Savely G. Karshenboim and Akira Ozawa and Valery A. Shelyuto and Robert Szafron and Vladimir G. Ivanov},
  journal={Physics Letters B},

Figures and Tables from this paper

The Proton Structure in and out of Muonic Hydrogen

Laser spectroscopy of muonic atoms has been recently used to probe properties of light nuclei with unprecedented precision. We introduce nuclear effects in hydrogen-like atoms, nucleon structure

Towards an Independent Determination of Muon g-2 from Muonium Spectroscopy.

It is shown that muonium spectroscopy in the coming years can reach a precision high enough to determine the anomalous magnetic moment of the muon below one part per million (ppm), and the good agreement between theory and experiment for the electron g-2 indicates that new physics interactions are unlikely to affectMuonium Spectroscopy down to the envisaged precision.

Measuring the α-particle charge radius with muonic helium-4 ions

The measurement of two 2S–2P transitions in the muonic helium-4 ion yields a precise determination of the root-mean-square charge radius of the α particle, providing a benchmark for few-nucleon theories, lattice quantum chromodynamics and electron scattering.

Quantum electrodynamics of two-body systems with arbitrary masses up to α6 order

We perform a calculation of quantum electrodynamics effects in excited states with l > 1 of arbitrary two-body systems up to α 6 µ order. The obtained results are valid for hadronic atoms, as long as

Muonium Lamb shift: theory update and experimental prospects

We review the theory of the Lamb shift for muonium, provide an updated numerical value and present the prospects of the Mu-MASS collaboration at PSI to improve upon their recent measurement. Due to

The proton radius (puzzle?) and its relatives

Self-consistent extraction of spectroscopic bounds on light new physics

Fundamental physical constants are determined from a collection of precision measurements of elementary particles, atoms and molecules. This is usually done under the assumption of the Standard Model

Rovibrational spin-averaged transitions in the hydrogen molecular ions

We reconsider the calculation of rovibrational transition frequencies in hydrogen molecular ions. Some previously neglected contributions, such as the deuteron polarizability, are included into

Probing new physics using Rydberg states of atomic hydrogen

We consider the role of high-lying Rydberg states of simple atomic systems such as $^1$H in setting constraints on physics beyond the Standard Model. We obtain highly accurate bound states energies

Virtual Delbrück scattering and the Lamb shift in light hydrogenlike atoms

We return to the problem of evaluation of the light-by-light contribution to the energy levels of the hydrogen atom. We find an additional contribution directly related to the Delbr\"uck scattering



Two-loop Bethe-logarithm correction in hydrogenlike atoms.

The two-loop Bethe logarithm correction to atomic energy levels in hydrogenlike systems is calculated, a low-energy quantum electrodynamic (QED) effect involving multiple summations over virtual excited atomic states.

Nuclear Recoil Effect in the Lamb Shift of Light Hydrogenlike Atoms.

This result resolves the long-standing disagreement between the numerical all-order and analytical Zα-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.

Improved measurement of the hydrogen 1S-2S transition frequency.

The 1S-2S transition frequency in atomic hydrogen via two-photon spectroscopy on a 5.8 K atomic beam is measured, with improvement to a fractional frequency uncertainty of 4.2 × 10(-15) arises mainly from an improved stability of the Spectroscopy laser, and a better determination of the main systematic uncertainties.

Corrections of order alpha 2(Z alpha )5 to the hyperfine splitting and the Lamb shift.

  • EidesShelyuto
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1995
Corrections to hyperfine splitting and Lamb shift of order $\alpha^2(Z\alpha)^5$ induced by the diagrams with radiative photon insertions in the electron line are calculated in the Fried-Yennie

New Measurement of the 1S-3S Transition Frequency of Hydrogen: Contribution to the Proton Charge Radius Puzzle.

We present a new measurement of the 1S-3S two-photon transition frequency of hydrogen, realized with a continuous-wave excitation laser at 205 nm on a room-temperature atomic beam, with a relative

Two-loop self-energy contribution to the Lamb shift in H-like ions

The two-loop self-energy correction is evaluated to all orders in $Z\ensuremath{\alpha}$ for the ground-state Lamb shift of H-like ions with $Z\ensuremath{\geqslant}10$, where $Z$ is the nuclear

Contributions to the binding, two-loop correction to the Lamb shift.

  • Pachucki
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1993
An evaluation of the two-loop diagrams, including the closed electron loop, which contribute to the Lamb shift in ([alpha]/[pi])[sup 2]([ital Z][alpha])[Sup 5]/ [ital n][sup 3] order is presented.

Light-by-light-scattering contributions to the Lamb shift in light muonic atoms

We consider one-loop light-by-light-scattering contributions to the Lamb shift of the 1s, 2s, 2p states in light muonic hydrogenlike atoms at Z <= 10. The contributions are of the order alpha(5)m(mu)