Self-energy correction to the E1 transition amplitudes in hydrogen-like ions
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| author | Kozlov, M. G. Kaygorodov, M. Y. Demidov, Yu. A. Yerokhin, V. A. |
| author_facet | Kozlov, M. G. Kaygorodov, M. Y. Demidov, Yu. A. Yerokhin, V. A. |
| contents | We present calculations of the self-energy correction to the $E1$ transition amplitudes in hydrogen-like ions, performed to all orders in the nuclear binding strength parameter. Our results for the $1s$-$2p_{1/2}$ transition for the hydrogen isoelectronic sequence show that the perturbed-orbital part of the self-energy correction provides the dominant contribution, accounting for approximately 99\% of the total correction for this transition. Detailed calculations were performed for $ns$-$n'p$ and $np$-$n'd$ transitions in H-like caesium. We conclude that the perturbed-orbital part remains dominant also for other $ns$-$n'p$ transitions, whereas for the $np$-$n'd$ matrix elements this dominance no longer holds. Consequently, the self-energy corrections for the $np$-$n'd$ one-electron matrix elements cannot be well reproduced by means of effective QED operators constructed for energy levels. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01231 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Self-energy correction to the E1 transition amplitudes in hydrogen-like ions Kozlov, M. G. Kaygorodov, M. Y. Demidov, Yu. A. Yerokhin, V. A. Atomic Physics We present calculations of the self-energy correction to the $E1$ transition amplitudes in hydrogen-like ions, performed to all orders in the nuclear binding strength parameter. Our results for the $1s$-$2p_{1/2}$ transition for the hydrogen isoelectronic sequence show that the perturbed-orbital part of the self-energy correction provides the dominant contribution, accounting for approximately 99\% of the total correction for this transition. Detailed calculations were performed for $ns$-$n'p$ and $np$-$n'd$ transitions in H-like caesium. We conclude that the perturbed-orbital part remains dominant also for other $ns$-$n'p$ transitions, whereas for the $np$-$n'd$ matrix elements this dominance no longer holds. Consequently, the self-energy corrections for the $np$-$n'd$ one-electron matrix elements cannot be well reproduced by means of effective QED operators constructed for energy levels. |
| title | Self-energy correction to the E1 transition amplitudes in hydrogen-like ions |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2412.01231 |