$Q_{ extrm{EC}}$-value determination for $^{21}$Na$ ightarrow^{21}$Ne and $^{23}$Mg$ ightarrow^{23}$Na mirror-nuclei decays using high-precision mass spectrometry with ISOLTRAP at ISOLDE/CERN
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abstract
We report on high-precision $Q_{ extrm{EC}}$ values of the $^{21}$Na$ ightarrow^{21}$Ne and $^{23}$Mg$ ightarrow^{23}$Na mirror $\beta$-transitions from mass measurements with ISOLTRAP at ISOLDE/CERN. A precision of $delta m/m = 9 cdot 10^{-10}$ and $delta m/m = 1.5 cdot 10^{-9}$ was reached for the masses of $^{21}$Na and $^{23}$Mg, respectively. We reduce the uncertainty of the $Q_{ extrm{EC}}$ values by a factor five, making them the most precise experimental input data for the calculation of the corrected $mathcal{F} t$-value of these mixed Fermi/Gamow-Teller transitions. For the $^{21}$Na$ ightarrow^{21}$Ne $Q_{ extrm{EC}}$ value, a $2.3 sigma$ deviation from the literature $Q_{ extrm{EC}}$-value was found.