arXiv 1710.094282017-10-25nucl-th

半微观代数簇模型中的~（12）C

12C within the Semimicroscopic Algebraic Cluster Model

P. O. Hess

备注：: 8 pages, 3 figures, 8 tables
DOI：: 10.1140/epja/i2018-12468-7

摘要：

半微观代数簇模型（SACM）被应用到12 C作为一个系统的三个α-簇。构造了遵循Pauli不相容原理的微观模型空间。结果表明，~（12）C核可以有效地看作是一个8Be+ α双团簇系统。实验光谱再现良好。讨论了几何映射，指出基态必须对应于三角形结构，这与其它微观计算结果一致。非零B（E2; 0_2+ -> 2_1+）跃迁需要SU（3）不可约表示的混合，并讨论了其结果。霍伊尔状态原来包含大壳激发。的结果进行比较，另一种唯象模型，假设一个三角形结构，并使用简单的对称性参数，可以重现在低能量下观察到的状态。该模型没有观察到PEP，我们的贡献的一个目标是验证PEP的重要性的程度。

英文摘要：

The Semimicroscopic Algebraic Cluster Model (SACM) is applied to 12C as a system of three alpha- clusters. The microscopic model space, which observes the Pauli-Exclusion-Principle (PEP), is constructed. It is shown that the 12C nucleus can effectively be treated as a two-cluster system 8Be+alpha. The experimental spectrum is well reproduced. The geometrical mapping is discussed and it is shown that the ground state must correspond to a triangular structure, which is in agreement with other microscopic calculations. The non-zero B(E2; 0_2+ --> 2_1+) transition requires a mixing of SU(3) irreducible representations (irreps) whose consequences are discussed. The Hoyle state turns out to contain large shell excitations. The results are compared to another phenomenological model, which assumes a triangular structure and, using simple symmetry arguments, can reproduce the states observed at low energy. This model does not observe the PEP and one objective of our contribution is to verify the extend of importance of the PEP.

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