### Abstract

We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions. The self-energy represents the largest QED correction to the relativistic (Dirac-Coulomb) energy of a bound electron. We focus on the perturbation expansion of the self-energy of non-S states, and provide estimates of the so-called [Formula Presented] perturbation coefficient, which can be viewed as a relativistic Bethe logarithm. Precise values of [Formula Presented] are given for many P, D, F, and G states, while estimates are given for other states. These results can be used in high-precision spectroscopy experiments in hydrogen and hydrogenlike ions. They yield the best available estimate of the self-energy correction of many atomic states.

Original language | English |
---|---|

Number of pages | 1 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 68 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jan 1 2003 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*68*(4). https://doi.org/10.1103/PhysRevA.68.042101

**Perturbation approach to the self-energy of non-S hydrogenic states.** / Le Bigot, Eric Olivier; Jentschura, U.; Mohr, Peter J.; Indelicato, Paul; Soff, Gerhard.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 68, no. 4. https://doi.org/10.1103/PhysRevA.68.042101

}

TY - JOUR

T1 - Perturbation approach to the self-energy of non-S hydrogenic states

AU - Le Bigot, Eric Olivier

AU - Jentschura, U.

AU - Mohr, Peter J.

AU - Indelicato, Paul

AU - Soff, Gerhard

PY - 2003/1/1

Y1 - 2003/1/1

N2 - We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions. The self-energy represents the largest QED correction to the relativistic (Dirac-Coulomb) energy of a bound electron. We focus on the perturbation expansion of the self-energy of non-S states, and provide estimates of the so-called [Formula Presented] perturbation coefficient, which can be viewed as a relativistic Bethe logarithm. Precise values of [Formula Presented] are given for many P, D, F, and G states, while estimates are given for other states. These results can be used in high-precision spectroscopy experiments in hydrogen and hydrogenlike ions. They yield the best available estimate of the self-energy correction of many atomic states.

AB - We present results on the self-energy correction to the energy levels of hydrogen and hydrogenlike ions. The self-energy represents the largest QED correction to the relativistic (Dirac-Coulomb) energy of a bound electron. We focus on the perturbation expansion of the self-energy of non-S states, and provide estimates of the so-called [Formula Presented] perturbation coefficient, which can be viewed as a relativistic Bethe logarithm. Precise values of [Formula Presented] are given for many P, D, F, and G states, while estimates are given for other states. These results can be used in high-precision spectroscopy experiments in hydrogen and hydrogenlike ions. They yield the best available estimate of the self-energy correction of many atomic states.

UR - http://www.scopus.com/inward/record.url?scp=85037254746&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85037254746&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.68.042101

DO - 10.1103/PhysRevA.68.042101

M3 - Article

AN - SCOPUS:85037254746

VL - 68

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

ER -