论文标题

t = 1/2 f7/2壳核中的镜像能量差异依赖于同胞依赖的dft

Mirror energy differences in T=1/2 f7/2-shell nuclei within isospin-dependent DFT

论文作者

Baczyk, P., Satula, W.

论文摘要

背景:中子和质子之间的小不对称性,是由质量和下降夸克的质量和电荷的差异引起的,导致同胞素对称性破裂。等素不保守影响从超允许的费米弱相互作用到同源性电磁速率的广泛可观察到的物品。它最深刻,最干净的表现是镜子原子核的质量和激发能的系统变化。 目的:最近,我们构建了包括II类和III类局部相互作用的电荷依赖性DFT,并证明该模型允许在非常广泛的质量中非常准确地繁殖镜像和三胞胎位移能量。这项工作的目的是通过研究角动量$ i $的功能来进一步测试电荷依赖性功能。 方法:要计算药物,我们使用DFT根无核心配置交互模型。该帖子均值场方法恢复了旋转对称性,并考虑了包括相关(多)粒子 - (多)孔孔的决定因素的空间中的配置混合。 结果:我们将模型应用于$ f_ {7/2} $ - $ a = 43 $,$ 45 $,$ 47 $和$ 49 $的Shell Mirror对,专注于低旋转部分的药物(在频段交叉下方),这使我们能够将模型空间限制为1和三(一个破碎的配对)配置。 结论:我们证明,对于旋转$ i \ leq 15/2 $,作为本研究的主题,我们的模型复制了良好的实验药物,这些药物的功能差异很大,$ i $和$ a $。模型预测的质量与Bentley等人的核壳模型结果相当。物理。 Rev. C 92,024310(2015)。

Background: Small asymmetry between neutrons and protons, caused by the differences in masses and charges of the up and down constituent quarks leads to the isospin symmetry breaking. The isospin non-conservation affects broad range of observables from superallowed Fermi weak interaction to isospin-forbidden electromagnetic rates. Its most profound and cleanest manifestation are systematic shifts in masses and excitation energies of mirror atomic nuclei. Purpose: Recently, we constructed the charge-dependent DFT that includes class II and III local interactions and demonstrated that the model allows for very accurate reproduction of Mirror and Triplet Displacement energies in a very broad range of masses. The aim of this work is to further test the charge-dependent functional by studying Mirror Energy Differences (MEDs) in function of angular momentum $I$. Methods: To compute MEDs we use DFT-rooted no core configuration interaction model. This post mean-field method restores rotational symmetry and takes into account configuration mixing within a space that includes relevant (multi)particle-(multi)hole Slater determinants. Results: We applied the model to $f_{7/2}$-shell mirror pairs of $A=43$, $45$, $47$, and $49$ focusing on MEDs in low-spin part (below band crossing) what allowed us to limit the model space to seniority one and three (one broken pair) configurations. Conclusions: We demonstrate that, for spins $I\leq 15/2$ being subject of the present study, our model reproduces well experimental MEDs which vary strongly in function of $I$ and $A$. The quality of model's predictions is comparable to the nuclear shell-model results by Bentley et al. Phys. Rev. C 92, 024310 (2015).

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