Neutrinoless double-β decay matrix elements in large shell-model spaces with the generator-coordinate method
Neutrinoless double-β decay matrix elements in large shell-model spaces with the generator-coordinate method
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DOI：
10.1103/physrevc.96.054310
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发表时间：
2017-07
影响因子：
3.1
通讯作者：
Chang-Feng Jiao;Chang-Feng Jiao;J. Engel;J. D. Holt
中科院分区：
文献类型：
--
作者：
Chang-Feng Jiao;Chang-Feng Jiao;J. Engel;J. D. Holt
我们使用具有真实壳模型相互作用的生成坐标方法来近似近似 $^{48}$Ca、$^{76}$Ge 和 $^{82}$Se 的无中微子双贝塔衰变矩阵元素的完整壳模型计算。我们在一个主要壳层中处理第一个同位素，在 $f_{5/2}pg_{9/2}$ 空间中处理第二个和第三个同位素，最后在两个主要壳层中处理所有三个同位素。我们的坐标不仅包括通常的轴向变形参数$\beta$，还包括三轴角$\gamma$和中子-质子配对振幅。在较小的模型空间中，我们的矩阵元素与全壳模型对角化的矩阵元素非常一致，这表明我们基于哈密顿量的 GCM 捕获了大部分重要的价空间相关性。在目前不可能实现精确对角化的两个主要壳中，我们的矩阵元素与单个壳中的矩阵元素仅略有不同。
We use the generator-coordinate method with realistic shell-model interactions to closely approximate full shell-model calculations of the matrix elements for the neutrinoless double-beta decay of $^{48}$Ca, $^{76}$Ge, and $^{82}$Se. We work in one major shell for the first isotope, in the $f_{5/2}pg_{9/2}$ space for the second and third, and finally in two major shells for all three. Our coordinates include not only the usual axial deformation parameter $\beta$, but also the triaxiality angle $\gamma$ and neutron-proton pairing amplitudes. In the smaller model spaces our matrix elements agree well with those of full shell-model diagonalization, suggesting that our Hamiltonian-based GCM captures most of the important valence-space correlations. In two major shells, where exact diagonalization is not currently possible, our matrix elements are only slightly different from those in a single shell.