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Zemach radii and nuclear structure effects in hyperfine splitting of lithium isotopes

Yilong Yang (杨一龙)1, Evgeny Epelbaum2, Chen Ji (计晨)3,4, and Pengwei Zhao (赵鹏巍)1,*

  • *Contact author: pwzhao@pku.edu.cn

Phys. Rev. C 114, L041301 – Published 15 October, 2026

DOI: https://doi.org/10.1103/42rh-6j8x

Abstract

Nuclear structure effects are essential for describing hyperfine splittings from high-precision atomic spectroscopy measurements. These effects are often parametrized by the effective or elastic Zemach radii, with their difference being poorly understood. We show that the long-standing discrepancy between the effective and elastic Zemach radii in Li6 and Li7 could be resolved by taking into account nuclear polarizability effects in ab initio nuclear structure calculations. Our results demonstrate that nuclear polarizability effects, negligible in Li7, dominate in Li6 and explain the observed significant deviation between the effective and elastic Zemach radii. Furthermore, we show that the ratios between the nuclear polarizability contributions in different nuclei are universal in the limit of closure and SU(4) symmetry of nuclear forces. In particular, the nuclear polarizability contribution in an odd-odd nucleus is enhanced by a factor of μp/(μp+μn)≃3, with μn,p denoting the nucleon magnetic moments, compared to its odd-A isotopes. The same mechanism also explains the Zemach radius deviations observed in H2 and He3. These findings establish nuclear polarizability as the dominant source of isotope-dependent nuclear corrections to hyperfine splitting in light atoms.

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