Recoil corrections with finite nuclear size in hydrogenic systems
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910897183653888 |
|---|---|
| author | Pachucki, Krzysztof Patkóš, Vojtěch Yerokhin, Vladimir A. |
| author_facet | Pachucki, Krzysztof Patkóš, Vojtěch Yerokhin, Vladimir A. |
| contents | Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\,α)^5$ and $(Z\,α)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic atoms. The obtained results are particularly relevant for high-precision determinations of root-mean-square charge radii from muonic atom spectroscopy. We demonstrate that calculations of the atomic isotope shift based on the widely used Breit approximation give rise to an unphysical nuclear-size contribution that is linear in the nuclear charge radius $r_C$ at order $(Z\,α)^5$. This spurious term vanishes in a full QED treatment, leaving the correct contribution quadratic in $r_C$. For electronic atoms, this quadratic term is significantly smaller than the spurious linear contribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_09455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recoil corrections with finite nuclear size in hydrogenic systems Pachucki, Krzysztof Patkóš, Vojtěch Yerokhin, Vladimir A. Atomic Physics Formulas for the combined nuclear-recoil and finite-nuclear-size effects of order $(Z\,α)^5$ and $(Z\,α)^6$ are derived without any expansion in the nuclear charge radius $r_C$, making them applicable to both electronic and muonic atoms. The obtained results are particularly relevant for high-precision determinations of root-mean-square charge radii from muonic atom spectroscopy. We demonstrate that calculations of the atomic isotope shift based on the widely used Breit approximation give rise to an unphysical nuclear-size contribution that is linear in the nuclear charge radius $r_C$ at order $(Z\,α)^5$. This spurious term vanishes in a full QED treatment, leaving the correct contribution quadratic in $r_C$. For electronic atoms, this quadratic term is significantly smaller than the spurious linear contribution. |
| title | Recoil corrections with finite nuclear size in hydrogenic systems |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2502.09455 |