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Collinear laser spectroscopy was performed on the isomer of the aluminiumisotope $^{26m}$Al. The measured isotope shift to $^{27}$Al in the$3s^{2}3p\;^{2}\!P^\circ_{3/2} \rightarrow 3s^{2}4s\;^{2}\!S_{1/2}$ atomictransition enabled the first experimental determination of the nuclear chargeradius of $^{26m}$Al, resulting in $R_c$=\qty{3.130\pm.015}{\femto\meter}. Thisdiffers by 4.5 standard deviations from the extrapolated value used tocalculate the isospin-symmetry breaking corrections in the superallowed $\beta$decay of $^{26m}$Al. Its corrected $\mathcal{F}t$ value, important for theestimation of $V_{ud}$ in the CKM matrix, is thus shifted by one standarddeviation to \qty{3071.4\pm1.0}{\second}.

Nuclear charge radius of $^{26m}$Al and its implication for V$_{ud}$ in the quark-mixing matrix