The nuclear charge radius of 13C

Patrick Müller (), Matthias Heinz, Phillip Imgram, Kristian König, Bernhard Maass, Takayuki Miyagi, Wilfried Nörtershäuser (), Robert Roth and Achim Schwenk
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Patrick Müller: Technische Universität Darmstadt
Matthias Heinz: Technische Universität Darmstadt
Phillip Imgram: Technische Universität Darmstadt
Kristian König: Technische Universität Darmstadt
Bernhard Maass: Technische Universität Darmstadt
Takayuki Miyagi: Technische Universität Darmstadt
Wilfried Nörtershäuser: Technische Universität Darmstadt
Robert Roth: Technische Universität Darmstadt
Achim Schwenk: Technische Universität Darmstadt

Nature Communications, 2025, vol. 16, issue 1, 1-10

Abstract: Abstract 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.

Date: 2025
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DOI: 10.1038/s41467-025-60280-9

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