Gespeichert in:
| Hauptverfasser: | , , , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2409.09279 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910915896541184 |
|---|---|
| author | Qi, Xiao-Qiu Zhang, Pei-Pei Yan, Zong-Chao Tang, Li-Yan Chen, Ai-Xi Shi, Ting-Yun Zhong, Zhen-Xiang |
| author_facet | Qi, Xiao-Qiu Zhang, Pei-Pei Yan, Zong-Chao Tang, Li-Yan Chen, Ai-Xi Shi, Ting-Yun Zhong, Zhen-Xiang |
| contents | The significant discrepancy in the difference of squared nuclear charge radii $ΔR^2$ of $^{3,4}$He obtained from electronic-atom or muonic-atom energy levels is a puzzle. In this paper, we show that the tension is resolved by including off-diagonal mixing effects due to the hyperfine interaction. Our findings indicate that the hyperfine mixing effect from the $n\,^3\!S$ and $n\,^1\!S$ states ($n>2$) of $^3$He leads to a $-1.37$ kHz adjustment in the isotope shift of the $2\,^1\!S-2\,^3\!S$ transition, surpassing the current uncertainty by a factor of $7$. This results in a change of $-0.0064~\rm{fm}^2$ in $ΔR^2$, shifting from $1.0757(15)~\mathrm{fm}^2$ to $1.0693(15)~\mathrm{fm}^2$ as determined by Werf {\it et al.}, significantly reducing the discrepancy with the value of $1.0636(31)~\mathrm{fm}^2$ determined by $μ\rm{He}^+$, and aligning with the result of $1.069(3)$ $\mathrm{fm}^2$ obtained from the $2\,^3\!S-2\,^3\!P$ transition. This adjustment will result in a noticeable change in the absolute nuclear charge radius of $^{3}$He by $-0.0017~\rm{fm}$, aligning the revised value of $1.9715(11)~\mathrm{fm}$ with the value of $1.97007(94)~\mathrm{fm}$ determined by $μ^3\rm{He}^+$ within $1σ$. Our results offer crucial insights into resolving discrepancy in $ΔR^2$ for $^{3,4}$He and determining the charge radius of $^3$He. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09279 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Revised $^3$He nuclear charge radius due to electronic hyperfine mixing Qi, Xiao-Qiu Zhang, Pei-Pei Yan, Zong-Chao Tang, Li-Yan Chen, Ai-Xi Shi, Ting-Yun Zhong, Zhen-Xiang Atomic Physics The significant discrepancy in the difference of squared nuclear charge radii $ΔR^2$ of $^{3,4}$He obtained from electronic-atom or muonic-atom energy levels is a puzzle. In this paper, we show that the tension is resolved by including off-diagonal mixing effects due to the hyperfine interaction. Our findings indicate that the hyperfine mixing effect from the $n\,^3\!S$ and $n\,^1\!S$ states ($n>2$) of $^3$He leads to a $-1.37$ kHz adjustment in the isotope shift of the $2\,^1\!S-2\,^3\!S$ transition, surpassing the current uncertainty by a factor of $7$. This results in a change of $-0.0064~\rm{fm}^2$ in $ΔR^2$, shifting from $1.0757(15)~\mathrm{fm}^2$ to $1.0693(15)~\mathrm{fm}^2$ as determined by Werf {\it et al.}, significantly reducing the discrepancy with the value of $1.0636(31)~\mathrm{fm}^2$ determined by $μ\rm{He}^+$, and aligning with the result of $1.069(3)$ $\mathrm{fm}^2$ obtained from the $2\,^3\!S-2\,^3\!P$ transition. This adjustment will result in a noticeable change in the absolute nuclear charge radius of $^{3}$He by $-0.0017~\rm{fm}$, aligning the revised value of $1.9715(11)~\mathrm{fm}$ with the value of $1.97007(94)~\mathrm{fm}$ determined by $μ^3\rm{He}^+$ within $1σ$. Our results offer crucial insights into resolving discrepancy in $ΔR^2$ for $^{3,4}$He and determining the charge radius of $^3$He. |
| title | Revised $^3$He nuclear charge radius due to electronic hyperfine mixing |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2409.09279 |