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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.07618 |
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| _version_ | 1866917713275781120 |
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| author | Ohayon, B. Padilla-Castillo, J. E. Wright, S. C. Meijer, G. Sahoo, B. K. |
| author_facet | Ohayon, B. Padilla-Castillo, J. E. Wright, S. C. Meijer, G. Sahoo, B. K. |
| contents | Nuclear charge radius differences in the silver isotopic chain have been reported through different combinations of experiment and theory, exhibiting a tension of two combined standard errors. This study investigates this issue by combining high-accuracy calculations for six low-lying states of atomic silver with an improved measurement of the $5s ^2S_{1/2} - 5p ^2P_{3/2}$ transition optical isotope shift. Our calculations predict measured electronic transition energies in Ag I at the 0.3\% level, the highest accuracy achieved in this system so far. We calculate electronic isotope shift factors by employing analytical response relativistic coupled-cluster theory, and find that a consistent charge radius difference between $^{107,109}$Ag is returned when combining our calculations with the available optical isotope shift measurements. We therefore recommend an improved value for the mean-squared charge radius difference between $^{107}$Ag and $^{109}$Ag as $0.207(3)[4]$ fm$^2$, within one combined error from the value derived from muonic Ag experiments, and an updated set of charge radii differences across the isotopic chain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07618 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Reconciling mean-squared radius differences in the silver chain through improved measurement and {\it ab initio} calculations Ohayon, B. Padilla-Castillo, J. E. Wright, S. C. Meijer, G. Sahoo, B. K. Atomic Physics Computational Physics Nuclear charge radius differences in the silver isotopic chain have been reported through different combinations of experiment and theory, exhibiting a tension of two combined standard errors. This study investigates this issue by combining high-accuracy calculations for six low-lying states of atomic silver with an improved measurement of the $5s ^2S_{1/2} - 5p ^2P_{3/2}$ transition optical isotope shift. Our calculations predict measured electronic transition energies in Ag I at the 0.3\% level, the highest accuracy achieved in this system so far. We calculate electronic isotope shift factors by employing analytical response relativistic coupled-cluster theory, and find that a consistent charge radius difference between $^{107,109}$Ag is returned when combining our calculations with the available optical isotope shift measurements. We therefore recommend an improved value for the mean-squared charge radius difference between $^{107}$Ag and $^{109}$Ag as $0.207(3)[4]$ fm$^2$, within one combined error from the value derived from muonic Ag experiments, and an updated set of charge radii differences across the isotopic chain. |
| title | Reconciling mean-squared radius differences in the silver chain through improved measurement and {\it ab initio} calculations |
| topic | Atomic Physics Computational Physics |
| url | https://arxiv.org/abs/2402.07618 |