The nuclear charge radius of $^{13}\mathrm{C}$
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arXiv
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866913932202999808 |
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| author | Müller, Patrick Heinz, Matthias Imgram, Phillip König, Kristian Maass, Bernhard Miyagi, Takayuki Nörtershäuser, Wilfried Roth, Robert Schwenk, Achim |
| author_facet | Müller, Patrick Heinz, Matthias Imgram, Phillip König, Kristian Maass, Bernhard Miyagi, Takayuki Nörtershäuser, Wilfried Roth, Robert Schwenk, Achim |
| contents | 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 $^{13}\mathrm{C}$ and compare this with ab initio nuclear structure calculations. Measuring all hyperfine components of the $2\,^3\mathrm{S} \rightarrow 2\,^3\mathrm{P}$ fine-structure triplet in $^{13}\mathrm{C}^{4+}$ ions referenced to a frequency comb allows us to determine its center-of-gravity with accuracy better than $2\,\mathrm{MHz}$ although second-order hyperfine-structure effects shift individual lines by several $\mathrm{GHz}$. We improved the uncertainty of $R_\mathrm{c}(^{13}\mathrm{C})$ determined with electrons by a factor of $6$ and found a $3σ$ discrepancy with the muonic atom result of similar accuracy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05680 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The nuclear charge radius of $^{13}\mathrm{C}$ Müller, Patrick Heinz, Matthias Imgram, Phillip König, Kristian Maass, Bernhard Miyagi, Takayuki Nörtershäuser, Wilfried Roth, Robert Schwenk, Achim Atomic Physics Nuclear Theory 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 $^{13}\mathrm{C}$ and compare this with ab initio nuclear structure calculations. Measuring all hyperfine components of the $2\,^3\mathrm{S} \rightarrow 2\,^3\mathrm{P}$ fine-structure triplet in $^{13}\mathrm{C}^{4+}$ ions referenced to a frequency comb allows us to determine its center-of-gravity with accuracy better than $2\,\mathrm{MHz}$ although second-order hyperfine-structure effects shift individual lines by several $\mathrm{GHz}$. We improved the uncertainty of $R_\mathrm{c}(^{13}\mathrm{C})$ determined with electrons by a factor of $6$ and found a $3σ$ discrepancy with the muonic atom result of similar accuracy. |
| title | The nuclear charge radius of $^{13}\mathrm{C}$ |
| topic | Atomic Physics Nuclear Theory |
| url | https://arxiv.org/abs/2507.05680 |