### Abstract

We present an improved calculation of higher-order corrections to the one-loop self-energy of 2P states in hydrogenlike systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon energy into a high- and a low-energy part. The high-energy part is calculated by an expansion of the electron propagator in powers of the Coulomb field. The low-energy part is simplified by the application of a Foldy-Wouthuysen transformation. This transformation leads to a clear separation of the leading contribution from the relativistic corrections and removes higher-order terms. The method is applied to the 2P_{1/2} and 2P_{3/2} states in atomic hydrogen. The results lead to theoretical values for the Lamb shifts and the fine-structure splitting.

Original language | English |
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Pages (from-to) | 1853-1861 |

Number of pages | 9 |

Journal | Physical Review A |

Volume | 54 |

Issue number | 3 |

Publication status | Published - Sep 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*54*(3), 1853-1861.

**Higher-order binding corrections to the Lamb shift of 2P states.** / Jentschura, U.; Pachucki, K.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 54, no. 3, pp. 1853-1861.

}

TY - JOUR

T1 - Higher-order binding corrections to the Lamb shift of 2P states

AU - Jentschura, U.

AU - Pachucki, K.

PY - 1996/9

Y1 - 1996/9

N2 - We present an improved calculation of higher-order corrections to the one-loop self-energy of 2P states in hydrogenlike systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon energy into a high- and a low-energy part. The high-energy part is calculated by an expansion of the electron propagator in powers of the Coulomb field. The low-energy part is simplified by the application of a Foldy-Wouthuysen transformation. This transformation leads to a clear separation of the leading contribution from the relativistic corrections and removes higher-order terms. The method is applied to the 2P1/2 and 2P3/2 states in atomic hydrogen. The results lead to theoretical values for the Lamb shifts and the fine-structure splitting.

AB - We present an improved calculation of higher-order corrections to the one-loop self-energy of 2P states in hydrogenlike systems with small nuclear charge Z. The method is based on a division of the integration with respect to the photon energy into a high- and a low-energy part. The high-energy part is calculated by an expansion of the electron propagator in powers of the Coulomb field. The low-energy part is simplified by the application of a Foldy-Wouthuysen transformation. This transformation leads to a clear separation of the leading contribution from the relativistic corrections and removes higher-order terms. The method is applied to the 2P1/2 and 2P3/2 states in atomic hydrogen. The results lead to theoretical values for the Lamb shifts and the fine-structure splitting.

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UR - http://www.scopus.com/inward/citedby.url?scp=0001140985&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0001140985

VL - 54

SP - 1853

EP - 1861

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 3

ER -