QED theory of the nuclear recoil with finite size
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909069005029376 |
|---|---|
| author | Pachucki, Krzysztof Yerokhin, Vladimir A. |
| author_facet | Pachucki, Krzysztof Yerokhin, Vladimir A. |
| contents | We investigate the modification of the transverse electromagnetic interaction between two point-like particles when one particle acquires a finite size. It is shown that the correct treatment of such interaction cannot be accomplished within the Breit approximation but should be addressed within the QED. The complete QED formula is derived for the finite-size nuclear recoil, exact in the coupling strength parameter $Z\,α$. Numerical calculations are carried out for a wide range of $Z$ and verified against the $(Z\,α)^5$ contribution. The comparison with the $Z\,α$ expansion identifies the contribution of order $(Z\,α)^6$, which is linear in the nuclear radius and numerically dominates over the lower-order $(Z\,α)^5$ term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_13381 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | QED theory of the nuclear recoil with finite size Pachucki, Krzysztof Yerokhin, Vladimir A. Atomic Physics Nuclear Theory We investigate the modification of the transverse electromagnetic interaction between two point-like particles when one particle acquires a finite size. It is shown that the correct treatment of such interaction cannot be accomplished within the Breit approximation but should be addressed within the QED. The complete QED formula is derived for the finite-size nuclear recoil, exact in the coupling strength parameter $Z\,α$. Numerical calculations are carried out for a wide range of $Z$ and verified against the $(Z\,α)^5$ contribution. The comparison with the $Z\,α$ expansion identifies the contribution of order $(Z\,α)^6$, which is linear in the nuclear radius and numerically dominates over the lower-order $(Z\,α)^5$ term. |
| title | QED theory of the nuclear recoil with finite size |
| topic | Atomic Physics Nuclear Theory |
| url | https://arxiv.org/abs/2208.13381 |