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Neutrinoless Double-Beta Decay in Covariant Density Functional Theory

机译：中微子抑制功能理论中的双β衰减

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We use covariant density functional theory beyond mean field in order to describe neutrinoless double-beta decay in a fully relativistic way. The dynamic effects of particle-number and angular-momentum conservations as well as shape fluctuations of quadrupole character are taken into account within the generator coordinate method for both initial and final nuclei. The calculations are based on the full relativistic transition operator. The nuclear matrix elements (NME's) for a large number of possible transitions are investigated. The results are compared with various non-relativistic calculations, in particular also with the density functional theory based on the Gogny force. We find that the non-relativistic approximation is justified and that the total NME's can be well approximated by the pure axial-vector coupling term. This corresponds to a considerable reduction of the computational effort.
机译：我们使用相应的密度函数理论，超越平均场，以便以完全相对论的方式描述中基团双β腐烂。在初始和最终核的发电机坐标方法内考虑了粒子数和角动量保守的动态效应以及四极性特征的形状波动。计算基于完整的相对论过渡操作员。调查了大量可能的过渡的核矩阵元素（NME）。将结果与各种非相对论计算进行比较，特别是基于Gogny力的密度泛函理论。我们发现非相对论近似是合理的，并且总NME可以通过纯轴向矢量耦合术语很好地近似。这相当于计算工作的相当大降低。

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