Extreme Ultraviolet Spectroscopy of Highly Charged Lu and Yb Ions for Nuclear Charge Radius Determination
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , , , , , , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909924760485888 |
|---|---|
| author | Staiger, Hunter Takacs, Endre Blundell, Steven A. Kimura, Naoki Sakaue, Hiroyuki A. Ruiz, Ronald F. Garcia Nazarewicz, Witold Reinhard, Paul-Gerhard Faiyaz, Chowdhury A. Suzuki, Chihiro Dipti Angeli, István Ralchenko, Yuri Murakami, Izumi Kato, Daiji Nagai, Yuki Takaoka, Ryuji Miya, Yoshiki Nakamura, Nobuyuki |
| author_facet | Staiger, Hunter Takacs, Endre Blundell, Steven A. Kimura, Naoki Sakaue, Hiroyuki A. Ruiz, Ronald F. Garcia Nazarewicz, Witold Reinhard, Paul-Gerhard Faiyaz, Chowdhury A. Suzuki, Chihiro Dipti Angeli, István Ralchenko, Yuri Murakami, Izumi Kato, Daiji Nagai, Yuki Takaoka, Ryuji Miya, Yoshiki Nakamura, Nobuyuki |
| contents | We report a high-precision determination of the natural-abundance-averaged nuclear charge-radius difference between Yb and Lu using extreme ultraviolet (EUV) spectroscopy of highly charged ions (HCIs). By measuring the $D_1$ transition energies in Na- and Mg-like charge states of Lu and Yb confined in the Tokyo electron-beam ion trap, we extract meV-level energy shifts that are directly sensitive to nuclear-size effects. Transition-energy differences obtained from these spectra are compared with state-of-the-art relativistic many-body perturbation theory, including a new treatment of Mg-like ions. We develop a generalized framework to propagate uncertainties arising from nuclear deformation and surface diffuseness and evaluate corresponding nuclear-sensitivity coefficients. Combining Na- and Mg-like results yields mutually consistent radius differences, demonstrating the robustness of both the experimental calibration and the theoretical predictions. To determine absolute isotopic radii, we perform a generalized least-squares optimization incorporating our HCI constraints together with optical-isotope-shift data and muonic-atom results. This analysis establishes that the $^{175}$Lu charge radius is smaller than that of $^{174}$Yb, restoring the expected odd-even staggering across the $N=94$ isotonic chain. Our recommended value, $R(^{175}\text{Lu}) = 5.291(11)$ fm, reduces the uncertainty of the Lu radius by a factor of three compared with the previous electron-scattering result and resolves a long-standing anomaly in rare-earth nuclear systematics. This work demonstrates that EUV spectroscopy of HCIs provides a powerful and broadly applicable method for precision nuclear-structure studies in heavy, deformed nuclei. The techniques developed here enable future investigations of isotonic and isoelectronic sequences, including radioactive nuclides and higher-$Z$ systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_20537 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extreme Ultraviolet Spectroscopy of Highly Charged Lu and Yb Ions for Nuclear Charge Radius Determination Staiger, Hunter Takacs, Endre Blundell, Steven A. Kimura, Naoki Sakaue, Hiroyuki A. Ruiz, Ronald F. Garcia Nazarewicz, Witold Reinhard, Paul-Gerhard Faiyaz, Chowdhury A. Suzuki, Chihiro Dipti Angeli, István Ralchenko, Yuri Murakami, Izumi Kato, Daiji Nagai, Yuki Takaoka, Ryuji Miya, Yoshiki Nakamura, Nobuyuki Atomic Physics We report a high-precision determination of the natural-abundance-averaged nuclear charge-radius difference between Yb and Lu using extreme ultraviolet (EUV) spectroscopy of highly charged ions (HCIs). By measuring the $D_1$ transition energies in Na- and Mg-like charge states of Lu and Yb confined in the Tokyo electron-beam ion trap, we extract meV-level energy shifts that are directly sensitive to nuclear-size effects. Transition-energy differences obtained from these spectra are compared with state-of-the-art relativistic many-body perturbation theory, including a new treatment of Mg-like ions. We develop a generalized framework to propagate uncertainties arising from nuclear deformation and surface diffuseness and evaluate corresponding nuclear-sensitivity coefficients. Combining Na- and Mg-like results yields mutually consistent radius differences, demonstrating the robustness of both the experimental calibration and the theoretical predictions. To determine absolute isotopic radii, we perform a generalized least-squares optimization incorporating our HCI constraints together with optical-isotope-shift data and muonic-atom results. This analysis establishes that the $^{175}$Lu charge radius is smaller than that of $^{174}$Yb, restoring the expected odd-even staggering across the $N=94$ isotonic chain. Our recommended value, $R(^{175}\text{Lu}) = 5.291(11)$ fm, reduces the uncertainty of the Lu radius by a factor of three compared with the previous electron-scattering result and resolves a long-standing anomaly in rare-earth nuclear systematics. This work demonstrates that EUV spectroscopy of HCIs provides a powerful and broadly applicable method for precision nuclear-structure studies in heavy, deformed nuclei. The techniques developed here enable future investigations of isotonic and isoelectronic sequences, including radioactive nuclides and higher-$Z$ systems. |
| title | Extreme Ultraviolet Spectroscopy of Highly Charged Lu and Yb Ions for Nuclear Charge Radius Determination |
| topic | Atomic Physics |
| url | https://arxiv.org/abs/2511.20537 |