The nuclear charge radius of 13C

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

doi:10.1038/s41467-025-60280-9

The nuclear charge radius of ¹³C

Journal Article · Mon Jul 07 00:00:00 EDT 2025 · Nature Communications

DOI:https://doi.org/10.1038/s41467-025-60280-9· OSTI ID:3002318

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Technical Univ. of Darmstadt (Germany); Univ. of California, Los Angeles, CA (United States)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Technical Univ. of Darmstadt (Germany); Katholieke Univ. Leuven, Heverlee (Belgium)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
Technical Univ. of Darmstadt (Germany); Argonne National Laboratory (ANL), Argonne, IL (United States)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany); Univ. of Tsukuba (Japan)
Technical Univ. of Darmstadt (Germany); GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany); Max Planck Inst. fuer Kernphysik, Heidelberg (Germany)

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 → 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 R_c(¹³C) determined with electrons by a factor of 6 and found a 3σ discrepancy with the muonic atom result of similar accuracy.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725

OSTI ID:: 3002318

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 16; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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