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

P. Bączyk, W. Satula
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引用次数: 3

Abstract

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).
同位旋依赖密度泛函理论中T=1/2f7/2壳核的镜像能差
背景:由上下夸克的质量和电荷差异引起的中子和质子之间的微小不对称导致了同位旋对称性的破坏。同位旋不守恒影响了从超允许费米弱相互作用到禁止同位旋电磁速率的广泛观测值。它最深刻和最清晰的表现是镜像原子核的质量和激发能的系统变化。目的:最近,我们构建了包含II类和III类局部相互作用的电荷依赖DFT,并证明了该模型允许在非常广泛的质量范围内非常精确地再现镜像和三重态位移能量。本工作的目的是通过研究镜像能差(med)在角动量函数$I$中的作用来进一步测试电荷依赖泛函。方法:采用基于dft的无核心组态交互模型计算med。该post平均场方法恢复了旋转对称性,并考虑了包含相关(多)粒子-(多)孔Slater决定因素的空间内的配置混合。结果:我们将模型应用于$A=43$, $45$, $47$和$49$的$f_{7/2}$ -壳镜像对,重点关注低自旋部分(低于带交叉)的med,这使我们能够将模型空间限制为优先1和3(一个破碎对)配置。结论:我们证明,对于$I\leq 15/2$作为本研究的主题,我们的模型很好地再现了$I$和$A$功能强烈变化的实验med。模型的预测质量可与Bentley等人的核壳模型结果相媲美。物理。Rev. C 92, 024310(2015)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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