Triangular Alpha Cluster Geometries and Harmonic Oscillator Shell Structure

Triangular Alpha Cluster Geometries and Harmonic Oscillator Shell Structure
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三角形阿尔法簇几何结构和谐波振荡器壳结构

DOI:
10.1142/s021773239400383x
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发表时间:
1994
影响因子:
1.4
通讯作者:
J. Zhang
J. Zhang
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
W. Rae;J. Zhang

文献摘要

被引文献

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我们证明了块边缘α-集群模型中的基本几何结构和轴对称变形谐振子模型中的壳结构之间存在联系。事实上,所有轴对称的谐振子配置可以与由中心位于fcc晶格上的三角形α-集群层形成的结构有关。特别是所有的谐振子闭壳层核都可以与α-团簇中心的四面体排列有关,这是对O-16多年来已知结果的推广。这些结果表明,八极自由度,可以与三角形和四面体α-集群结构可能是重要的,在这样的核。
We demonstrate that there is a link between the underlying geometrical structure in the Block-Brink alpha-cluster model and shell structure in the axially-symmetric deformed Harmonic oscillator model. Indeed all the axially-symmetric Harmonic oscillator configurations can be related to structures formed from triangular layers of alpha-clusters whose centres lie on an fcc lattice. In particular all Harmonic oscillator closed-shell nuclei can be related to tetrahedral arrangements of alpha-cluster centers, generalizing the result known for O-16 for many years. These results suggest that the octupole degree of freedom which can be associated with triangular and tetrahedral alpha-cluster structures could be important in such nuclei.