Ultra-low $Q_β$ value for the allowed decay of $^{110}$Ag$^m$ confirmed via mass measurements

The mass of $^{109}$Ag isotope was measured with respect to $^{110}$Cd with the phase-imaging ion-cyclotron-resonance technique using the JYFLTRAP double Penning trap at the IGISOL facility. By combining this new result with the known spectroscopic information, the $Q_\beta$ value of $405(135)$ eV between the $6^+$ isomer of $^{110}$Ag and the $5^+_2$ state in $^{110}$Cd was determined. This is the lowest $Q_\beta$ for any allowed transition observed to date. The nuclear shell-model results were performed with the {\sc kshell} code employing the \textit{jj45pnb} interaction, and combined with the state-of-the-art atomic calculations. The theoretical partial half-life, $2.23^{+5.24}_{-1.28} \times 10^7$ years, and the resulting branching ratio, $3.07^{+4.16}_{-2.15} \times 10^{-8}$, combined with a viable production method, thermal-neutron capture on stable $^{109}$Ag, make $^{110}$Ag$^{m}$ as a promising candidate for future antineutrino mass measurement experiments.