半微观代数集团模型中的~(16)O和泡利不相容原理的重要性
16O within the Semimicroscopic Algebraic Cluster Model and the importance of the Pauli Exclusion Principle
摘要:
半微观代数集团模型(SACM)适用于16 O,假设由四个α-集团的系统。对于4-α团簇系统,构造了一个微观模型空间,该模型空间遵守Pauli-Exclusion-Principle(PEP),并且在4-α粒子排列下是对称的。一个现象学的哈密顿被使用,证明在SACM的名称半。确定了光谱和跃迁值。其中一个主要目标是测试泡利不相容原理(PEP)的重要性,将结果与不包括PEP的代数簇模型(ACM)进行比较,并声称16 O显示了四面体结构的证据,这可以很容易地用对称性参数来解释。我们发现PEP是非常重要的,不能忽视,否则它会导致错误的解释的能带结构和太多的状态在低能量。
英文摘要:
The Semimicroscopic Algebraic Cluster Model (SACM) is applied to 16O, assumed to consist of a system of four alpha-clusters. For the 4-alpha cluster system a microscopic model space is constructed, which observes the Pauli-Exclusion-Principle (PEP) and is symmetric under permutation of the 4-alpha-particles. A phenomenological Hamiltonian is used, justifying the name Semi in the SACM. The spectrum and transition values are determined. One of the main objectives is to test the importance of the Pauli Exclusion Principle (PEP), comparing the results with the Algebraic Cluster Model (ACM), which does not include the PEP, and claims that the 16O shows evidence of a tetrahedral structure, which can be explained easily by symmetry arguments. We show that PEP is very important and cannot be neglected, otherwise it leads to a wrong interpretation of the band structure and to too many states at low energy.
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