Systematic study of nuclear matrix elements in neutrinoless double-β decay with a beyond-mean-field covariant density functional theory
Systematic study of nuclear matrix elements in neutrinoless double-β decay with a beyond-mean-field covariant density functional theory
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DOI：
10.1103/physrevc.91.024316
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发表时间：
2014-10
影响因子：
3.1
通讯作者：
Jiangming Yao;Jiangming Yao;Jiangming Yao;L. Song;K. Hagino;P. Ring;P. Ring;P. Ring;J. Me
中科院分区：
文献类型：
--
作者：
Jiangming Yao;Jiangming Yao;Jiangming Yao;L. Song;K. Hagino;P. Ring;P. Ring;P. Ring;J. Me
本文利用超平均场协变密度泛函理论对无中微子双β衰变中的核矩阵元进行了系统的研究。采用投影和生成坐标方法，考虑了初始核和末态核的粒子数守恒、角动量守恒和四极形状涨落的动力学效应。采用完全相对论跃迁算符计算NME。目前的系统研究表明，在大多数情况下，与Song等人[Phys. Rev. C 90，054309（2014）]发现的核$^{150}\mathrm{Nd}$的情况相比，与以前基于Gogny力的非相对论计算的一致性要好得多。特别是，我们发现，总的NME可以很好地近似的纯轴向矢量耦合项与相当大的减少计算工作量。
We report a systematic study of nuclear matrix elements (NMEs) in neutrinoless double-$\ensuremath{\beta}$ decays with a state-of-the-art beyond-mean-field covariant density functional theory. The dynamic effects of particle-number and angular-momentum conservations as well as quadrupole shape fluctuations are taken into account with projections and generator coordinate method for both initial and final nuclei. The full relativistic transition operator is adopted to calculate the NMEs. The present systematic studies show that in most of the cases there is a much better agreement with the previous nonrelativistic calculation based on the Gogny force than in the case of the nucleus $^{150}\mathrm{Nd}$ found by Song et al. [Phys. Rev. C 90, 054309 (2014)]. In particular, we find that the total NMEs can be well approximated by the pure axial-vector coupling term with a considerable reduction of the computational effort.