Calculation of nuclear matrix elements in neutrinoless double electron capture

Details Calculation of nuclear matrix elements in neutrinoless double electron capture Calculation of nuclear matrix elements in neutrinoless double electron capture

2012-03-05

arxiv.org/abs/1203.0989v1

Physics

Nuclear Physics

Nuclear Theory

Scientific paper

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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