# Lamb Shift in Light Hydrogen-Like Atoms

@article{Ivanov2000LambSI, title={Lamb Shift in Light Hydrogen-Like Atoms}, author={Vladimir G. Ivanov and Savely G. Karshenboim Pulkovo Observatory and St. Petersburg and Russia D. I. Mendeleev Institute for Metrology and Russia Max-Planck-Institut fur Quantenoptik and Garching and H Germany}, journal={arXiv: Atomic Physics}, year={2000} }

Calculation of higher-order two-loop corrections is now a limiting factor in development of the bound state QED theory of the Lamb shift in the hydrogen atom and in precision determination of the Rydberg constant. Progress in the study of light hydrogen-like ions of helium and nitrogen can be helpful to investigate these uncalculated terms experimentally. To do that it is necessary to develop a theory of such ions. We present here a theoretical calculation for low energy levels of helium and…

## 2 Citations

### Theory of the n = 2 levels in muonic helium-3 ions

- Physics
- 2017

Abstract
The present knowledge of Lamb shift, fine-, and hyperfine structure of the 2S and 2P states in muonic helium-3 ions is reviewed in anticipation of the results of a first measurement of…

### The Lamb shift of the muonic helium-3 ion and the helion charge radius

- Physics
- 2017

This thesis reports on the first ever measurement of several Lamb shift transitions in the muonic helium-3 ion and on the hitherto most precise extraction of its nuclear charge radius. The…

## References

SHOWING 1-10 OF 20 REFERENCES

### SECOND-ORDER ELECTRON SELF-ENERGY IN HYDROGENLIKE IONS

- Physics
- 1999

A calculation of the simplest part of the second-order electron self-energy (loop after loop irreducible contribution) for hydrogen-like ions with nuclear charge numbers $3 \leq Z \leq 92$ is…

### Analytical evaluation of higher-order binding corrections to the Lamb shift.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1992

A new analytical method for calculating the one-loop self-energy correction to the Lamb shift by expanding the Dirac-Coulomb propagator in powers of the Coulomb field is presented in detail.

### Self-energy of excited states in a strong Coulomb field.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1992

Results are given of a calculation of the self-energy radiative correction for electrons bound in a strong Coulomb field for states with principal quantum number n=3, 4, and 5.

### Complete two-loop binding correction to the Lamb shift.

- PhysicsPhysical review letters
- 1994

The binding correction of the two-loop contribution to the Lamb shift in hydrogenlike atoms is calculated by a combined analytical and numerical method and the proton radius puzzle is solved in favor of the value obtained by the Mainz group.

### Self-energy correction to one-electron energy levels in a strong Coulomb field.

- PhysicsPhysical review. A, Atomic, molecular, and optical physics
- 1992

Results of a precise calculation of the Coulomb self-energy for states with n=1 and 2 for nuclear charge Z in the range 5-110 in increments of 5 are given, providing improved accuracy over previous calculations.

### Higher-order binding corrections to the Lamb shift

- Physics1998 Conference on Precision Electromagnetic Measurements Digest (Cat. No.98CH36254)
- 1998

An improved calculation of higher-order corrections to the one-loop self-energy of 2{ital P} states in hydrogenlike systems with small nuclear charge is presented, leading to theoretical values for the Lamb shifts and the fine-structure splitting.

### Calculation of the Electron Self-Energy for Low Nuclear Charge

- Physics
- 1999

We present a nonperturbative numerical evaluation of the one-photon electron self-energy for hydrogenlike ions with low nuclear charge numbers $Z\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1$…

### Relativistic nuclear recoil corrections to the energy levels of hydrogenlike and high-Z lithiumlike atoms in all orders in alpha Z.

- Physics, Materials SciencePhysical review. A, Atomic, molecular, and optical physics
- 1995

It is found that the nuclear recoil contribution, in addition to Salpeter's contribution, to the Lamb shift (n=2) of hydrogen is -1.32(6) kHz.