Calculation of nuclear matrix elements in neutrinoless double electron capture

Abstract

We compute nuclear matrix elements for neutrinoless double electron capture on ${}^{152}$Gd, ${}^{164}$Er and ${}^{180}$W nuclei. Recent precise mass measurements for these nuclei have shown a large resonance enhancement factor that makes them the most promising candidates for observing this decay mode. We use an advanced energy density functional method which includes beyond mean-field effects such as symmetry restoration and shape mixing. Our calculations reproduce experimental charge radii and $B(E2)$ values predicting a large deformation for all these nuclei. This fact reduces significantly the values of the NMEs leading to half-lives larger than $10^{29}$ years for the three candidates.

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• The nuclear energy density functional formalism
• Search for Two-Neutrino Double Electron Capture of ${}^{124}$Xe with XENON100
• Q value and half-life of double-electron capture in Os-184
• New Limits on Double Electron Capture of ${}^{40}$Ca and ${}^{180}$W
• Double Beta Decay to the Excited States: Review
• Improved limits on ${\beta }^{+}$EC and ECEC processes in ${}^{74}$Se
• Stimulated transitions in resonant atom Majorana mixing
• Large-scale shell-model investigation of $2\nu$ECEC in ${}^{132}$Ba and ${}^{78}$Kr