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<p>The size is a key property of a nucleus. Accurate nuclear radii are extracted from elastic electron scattering, laser spectroscopy, and muonic atom spectroscopy. The results are not always compatible, as the proton-radius puzzle has shown most dramatically. Beyond helium, precision data from muonic and electronic sources are scarce in the light-mass region. The stable isotopes of carbon are an exception. We present a laser spectroscopic measurement of the root-mean-square (rms) charge radius of <sup>13</sup>C and compare this with ab initio nuclear structure calculations. Measuring all hyperfine components of the 2 <sup>3</sup>S&#xa0;<InlineEquation ID="IEq01"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41467_2025_60280_Article_IEq01.gif" Format="GIF" Height="6" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\({\to}\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>→</mo> </math></EquationSource> </InlineEquation> 2 <sup>3</sup>P fine-structure triplet in <sup>13</sup>C<sup>4+</sup> ions referenced to a frequency comb allows us to determine its center-of-gravity with accuracy better than 2 MHz although second-order hyperfine-structure effects shift individual lines by several GHz. We improved the uncertainty of <i>R</i><sub>c</sub>(<sup>13</sup>C) determined with electrons by a factor of 6 and found a 3<i>σ</i> discrepancy with the muonic atom result of similar accuracy.</p>

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The nuclear charge radius of 13C

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年7月7日

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  • Patrick Müller,
  • Matthias Heinz,
  • Phillip Imgram,
  • Kristian König,
  • Bernhard Maass,
  • Takayuki Miyagi,
  • Wilfried Nörtershäuser,
  • Robert Roth,
  • Achim Schwenk

摘要

The size is a key property of a nucleus. Accurate nuclear radii are extracted from elastic electron scattering, laser spectroscopy, and muonic atom spectroscopy. The results are not always compatible, as the proton-radius puzzle has shown most dramatically. Beyond helium, precision data from muonic and electronic sources are scarce in the light-mass region. The stable isotopes of carbon are an exception. We present a laser spectroscopic measurement of the root-mean-square (rms) charge radius of 13C and compare this with ab initio nuclear structure calculations. Measuring all hyperfine components of the 2 3S  \({\to}\) → 2 3P fine-structure triplet in 13C4+ ions referenced to a frequency comb allows us to determine its center-of-gravity with accuracy better than 2 MHz although second-order hyperfine-structure effects shift individual lines by several GHz. We improved the uncertainty of Rc(13C) determined with electrons by a factor of 6 and found a 3σ discrepancy with the muonic atom result of similar accuracy.