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arXiv 0903.1182nucl-th
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核密度泛函理论中的同位旋混合

Isospin mixing in nuclei within the nuclear density functional theory

W. Satula, J. Dobaczewski, W. Nazarewicz, M. Rafalski

摘要:

本文采用核密度泛函方法和库仑相互作用的再对角化方法,在好的同位旋基下,对同位旋混合进行了自洽的、非微扰的分析。最大的同位旋断裂效应的预测N = Z核,它们迅速下降的中子过剩。该方法消除了由中子过剩引起的平均场水平上的非物理同位旋破坏。我们发现一个显着的依赖性的核相互作用项的参数化的同位旋破缺的幅度。在同位旋混合参数与质子和中子均方根半径之差之间发现了一个粗略的相关性。本研究所描述的理论框架非常适合描述与原子核中的同位旋破坏相关的各种现象,特别是对超允许费米β衰变的同位旋破缺修正。

英文摘要:

We present the self-consistent, non-perturbative analysis of isospin mixing using the nuclear density functional approach and the rediagonalization of the Coulomb interaction in the good-isospin basis. The largest isospin-breaking effects are predicted for N = Z nuclei and they quickly fall with the neutron excess. The unphysical isospin violation on the mean-field level, caused by the neutron excess, is eliminated by the proposed method. We find a significant dependence of the magnitude of isospin breaking on the parametrization of the nuclear interaction term. A rough correlation has been found between the isospin mixing parameter and the difference of proton and neutron rms radii. The theoretical framework described in this study is well suited to describe a variety of phenomena associated with isospin violation in nuclei, in particular the isospin symmetry-breaking corrections to superallowed Fermi beta decays.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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