{"title":"Radii of Mirror Nuclei and Isobaric Triplets","authors":"Ben Ohayon","doi":"arxiv-2409.08193","DOIUrl":null,"url":null,"abstract":"We present a review of absolute root-mean-square charge radii of stable\nnuclei up to $Z=32$, which includes a previously overlooked uncertainty in the\ncombined analysis of muonic x-ray and electron scattering experiments. From\nthese \\textit{reference radii} and isotope shift measurements, we obtain those\nof 12 mirror pairs with a traceable and realistic uncertainty budget. The\ndifference in radii between mirror nuclei is found to be proportional to the\nisospin asymmetry, confirming recent calculations by Novario \\emph{et al.}\n[PRL~130, 032501]. From the fitted proportionality constant and its\nuncertainty, the radii of 73 previously unknown mirror partners are predicted.\nThese are useful e.g. for benchmarking atomic and nuclear theory, calibrating\nentire chains, and as an input to nuclear beta-decay calculations. The radii of\n$(T=1,T_z=0)$ nuclei are interpolated assuming negligible isospin symmetry\nbreaking. This completes a model-independent, high-precision extraction of the\ncharge and weak radii of all nuclei involved in the testing of the unitarity of\nthe CKM matrix.","PeriodicalId":501039,"journal":{"name":"arXiv - PHYS - Atomic Physics","volume":"44 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - PHYS - Atomic Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08193","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We present a review of absolute root-mean-square charge radii of stable
nuclei up 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, we 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]. From the fitted proportionality constant and its
uncertainty, the radii of 73 previously unknown mirror partners are predicted.
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.