The Nuclear Charge Radius of 13C from Precision Laser Spectroscopy of Helium-like C4+HYBRID

Nuclear charge radii, extracted from collinear laser spectroscopy, are often used to benchmark nuclear structure models. Of particular interest is the proton-halo candidate 8B. Unfortunately, the required charge radii of the reference isotopes of boron are insufficiently known from elastic electron scattering or muonic atom spectroscopy. However, recent developments in atomic structure calculations enabled us to directly extract absolute nuclear charge radii from laser spectroscopy measurements in helium-like systems [1]. As a starting point for this effort, we have now measured the 1s2s 3S1 → 1s2p 3P0,1,2 transitions in helium-like 12,13C4+ at the Collinear Apparatus for Laser Spectroscopy and Applied Science (COALA), located at the Institute for Nuclear Physics at TU Darmstadt. While the determination of an all-optical absolute nuclear charge radius requires more sophisticated atomic structure calculations, in combination with state-of-the-art mass-shift calculations, we are able to determine the differential nuclear charge radius δ(r2)12,13 with unprecedented precision. Particularly challenging are systems such as 13C4+ or also the helium-like ion of the halo-candidate 8B3+ whose electronic excited states are affected significantly by hyperfine-induced mixing.

[1] Yerokhin et al., Phys. Rev. A 106, 022815 (2022)

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