Tuesday, March 6, 2012

1203.0989 (Tomas R. Rodriguez et al.)

Calculation of nuclear matrix elements in neutrinoless double electron
capture
   [PDF]

Tomas R. Rodriguez, Gabriel Martinez-Pinedo
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.
View original: http://arxiv.org/abs/1203.0989

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