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arXiv 1203.0989nucl-thnucl-ex
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无中微子双电子俘获中核矩阵元的计算

Calculation of nuclear matrix elements in neutrinoless double electron capture

Tomas R. Rodriguez, Gabriel Martinez-Pinedo

摘要:

计算了$^{152}$ Gd,$^{164}$ Er和$^{180}$ W核的无中微子双电子俘获核矩阵元.最近对这些原子核的精确质量测量显示出很大的共振增强因子,使它们成为观测这种衰变模式的最有希望的候选者。我们采用了一种先进的能量密度泛函方法,该方法包含了对称性恢复和形状混合等超平均场效应。我们的计算重现实验电荷半径和$B(E2)$值预测所有这些核的大变形。这一事实显著降低了NME值,导致三种候选物的半衰期大于$10^{29}$年。

英文摘要:

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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