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arxiv: 2310.15291 · v1 · pith:QGZ4YMX4new · submitted 2023-10-23 · ⚛️ nucl-ex

Nuclear charge radius of ^(26m)Al and its implication for V_(ud) in the quark-mixing matrix

classification ⚛️ nucl-ex
keywords chargeisotopematrixnuclearradiusstandardvaluealuminium
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Collinear laser spectroscopy was performed on the isomer of the aluminium isotope $^{26m}$Al. The measured isotope shift to $^{27}$Al in the $3s^{2}3p\;^{2}\!P^\circ_{3/2} \rightarrow 3s^{2}4s\;^{2}\!S_{1/2}$ atomic transition enabled the first experimental determination of the nuclear charge radius of $^{26m}$Al, resulting in $R_c$=\qty{3.130\pm.015}{\femto\meter}. This differs by 4.5 standard deviations from the extrapolated value used to calculate the isospin-symmetry breaking corrections in the superallowed $\beta$ decay of $^{26m}$Al. Its corrected $\mathcal{F}t$ value, important for the estimation of $V_{ud}$ in the CKM matrix, is thus shifted by one standard deviation to \qty{3071.4\pm1.0}{\second}.

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