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Critical evaluation of reference charge radii and applications in mirror nuclei

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arxiv 2409.08193 v3 pith:CDP5R2FZ submitted 2024-09-12 nucl-ex nucl-thphysics.atom-ph

Critical evaluation of reference charge radii and applications in mirror nuclei

classification nucl-ex nucl-thphysics.atom-ph
keywords radiinucleimirrorchargenuclearassumingcalculationscombined
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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I present a critical review of absolute root-mean-square charge radii of stable nuclei from $Z=3$ to $Z=32$, which includes a previously overlooked uncertainty in the combined analysis of muonic x-ray and electron scattering experiments. From these \textit{reference radii} and isotope shift measurements, I obtain those of 12 mirror pairs with a traceable and realistic uncertainty budget. The difference in radii between mirror nuclei is found to be proportional to the isospin asymmetry, confirming recent calculations by Novario \emph{et al}~[PRL~130, 032501]. Assuming that this linear relation holds across the nuclear chart, the fitted proportionality constant, combined with the revised known radii, predicts the radii of 73 previously unknown mirror partners. These are useful e.g., for benchmarking atomic and nuclear theory, calibrating entire chains, and as an input to nuclear beta-decay calculations. The radii of $(T=1,T_z=0)$ nuclei are interpolated assuming negligible isospin symmetry breaking. This completes a model-independent, high-precision extraction of the charge and weak radii of all nuclei involved in the testing of the unitarity of the CKM matrix.

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Cited by 2 Pith papers

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  1. Taming nuclear size and shape effects in superallowed beta-decay

    nucl-th 2026-05 unverdicted novelty 7.0

    A combined ab initio and experimental analysis of nuclear form factors reduces uncertainties in superallowed beta-decay rates, enabling a more precise first-row CKM unitarity test.

  2. Charge radii of Cl isotopes from x-ray spectroscopy of muonic atoms

    nucl-ex 2026-05 conditional novelty 7.0

    Muonic-atom x-ray measurements determine the charge radii of 35Cl and 37Cl as 3.3333(23) fm and 3.3444(23) fm respectively, with the isotope difference 25 times more precise than before.