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    Second-order hyperfine structure and its impact on searches for new physics using isotope-shift spectroscopy

    Julian C. Berengut1,* and Natalia S. Oreshkina2,†

    • *Contact author: julian.berengut@unsw.edu.au
    • †Contact author: natalia.oreshkina@mpi-hd.mpg.de

    Phys. Rev. A 112, 022804 – Published 5 August, 2025

    DOI: https://doi.org/10.1103/qkv8-z8z1

    Abstract

    Recent precision isotope shift spectroscopy experiments have reported King plot nonlinearities that may uncover previously hidden nuclear properties or hint at new force-carrying bosons. Interpreting the data requires many isotope pairs, but sufficient stable spin-zero nuclei are not always available. In this paper we consider the use of isotopes with nonzero nuclear spin for these studies. We confirm that observed King plot nonlinearity in strontium is explained by a second-order hyperfine shift in the fermionic nucleus, and we discuss the limitations of using Yb isotopes with nonzero spin in King plot studies. By introducing a specific difference of two isotopes with nuclear spin, we allow for a promising addition to future experimental schemes.

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