High-precision $Q_{EC}$-value measurement of the superallowed ${\beta }^{+}$ emitter ${}^{22}$Mg and an evaluation of the $A=22$ isobaric triplet

Abstract

A direct $Q_{EC}$-value measurement of the superallowed ${\beta }^{+}$ emitter ${}^{22}$Mg was performed using TRIUMF's Ion Trap for Atomic and Nuclear science (TITAN). The direct ground-state to ground-state atomic mass difference between ${}^{22}$Mg and ${}^{22}$Na was determined to be $Q_{EC}=4781.40(22)$~keV, representing the most precise single measurement of this quantity to date. In a continued push towards calculating superallowed isospin-symmetry-breaking (ISB) corrections from first principles, ab-initio shell-model calculations of the $A=22$ IMME are also presented for the first time using the valence-space in-medium similarity renormalization group formalism. With particular starting two- and three-nucleon forces, this approach demonstrates a level of agreement with the experimental data that suggests reliable ab-initio calculations of superallowed ISB corrections are now possible.

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• Precision mass measurements of ${}^{125-127}$Cd isotopes and isomers approaching the $N=82$ closed shell
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• A Search for $0^{+}$ States in ${}^{50}$Cr: Implications for the Superallowed $\beta$-decay of ${}^{50}$Mn
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Cited by in corpus (4)

• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Testing isospin symmetry breaking in ab initio nuclear theory
• ARIEL experiments and theory
• High-resolution (p,t) reaction measurements as spectroscopic tests of {\it ab-initio} theory in the mid $pf$-shell