Isotope shift factors for the ${\mathrm{Cd}}^{+}\phantom{\rule{4pt}{0ex}}5s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}\ensuremath{\rightarrow}5p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{3/2}$ transition and determination of Cd nuclear charge radii

Open Access

Isotope shift factors for the ${Cd}^{+} 5 s^{2} S_{1 / 2} \to 5 p^{2} P_{3 / 2}$ transition and determination of Cd nuclear charge radii

J. Z. Han, C. Pan, K. Y. Zhang, X. F. Yang, S. Q. Zhang, J. C. Berengut, S. Goriely, H. Wang, Y. M. Yu, J. Meng, J. W. Zhang, and L. J. Wang

Phys. Rev. Research 4, 033049 – Published 18 July 2022

Abstract

The accuracy of atomic isotope shift factors limits the extraction of nuclear charge radii from isotope shift measurements because determining these factors is experimentally and theoretically challenging. Here, the isotope shift of the ${Cd}^{+} 5 s^{2} S_{1 / 2} \to 5 p^{2} P_{3 / 2}$ transition is measured precisely using laser-induced fluorescence from a sympathetically cooled large ${Cd}^{+}$ ion crystal. A King-plot analysis is performed based on the new measurement to obtain accurate atomic field shift $F$ and mass shift $K$ factors that have been cross-checked by state-of-the-art configuration interaction plus many-body perturbation theory. The nuclear charge radii ( $R_{ch}$ ) of ${}^{100 – 130}{Cd}$ extracted using these $F$ and $K$ values demonstrate a near fivefold precision increase in the neutron-rich region. This work proves that accurate extraction of $R_{ch}$ from isotope shifts is possible. New $R_{ch}$ values reveal hidden discrepancies with previous density functional predictions in the neutron-rich region and pose strong challenges to advancements in nuclear models.

Received 16 November 2021
Revised 14 June 2022
Accepted 17 June 2022

DOI:https://doi.org/10.1103/PhysRevResearch.4.033049

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Atom & ion cooling Electron correlation calculations for atoms & ions Electronic structure of atoms & molecules Electronic transitions Fine & hyperfine structure Nuclear charge distribution Nuclear density functional theory

39 ≤ A ≤ 58

Atomic, Molecular & OpticalNuclear Physics

Authors & Affiliations

J. Z. Han ^1,2, C. Pan ³, K. Y. Zhang³, X. F. Yang ³, S. Q. Zhang³, J. C. Berengut ⁴, S. Goriely⁵, H. Wang⁶, Y. M. Yu ^7,8,*, J. Meng ^3,†, J. W. Zhang ^1,‡, and L. J. Wang^1,2,§

¹State Key Laboratory of Precision Measurement Technology and Instruments, Key Laboratory of Photon Measurement and Control Technology of Ministry of Education, Department of Precision Instrument, Tsinghua University, Beijing 100084, China
²Department of Physics, Tsinghua University, Beijing 100084, China
³State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China
⁴School of Physics, University of New South Wales, Sydney 2052, Australia
⁵Institut d'Astronomie et d'Astrophysique, CP-226, Universite Libré de Bruxelles, Brussels 1050, Belgium
⁶School of Economics and Management, Tsinghua University, Beijing 100084, China
⁷Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
⁸University of Chinese Academy of Sciences, Beijing 100049, China