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arXiv 1108.3283nucl-th
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唯象和微观团簇模型I。几何映射

Phenomenological and microscopic cluster models I. The geometric mapping

H. Yépez-Martínez, P. R. Fraser, P. O. Hess, G. Lévai

摘要:

在相干态理论下研究了原子核集团代数模型的几何映射。考虑两种模型:半微观代数簇模型(SACM)和唯象代数簇模型(PACM),后者是SACM的一个特殊极限。SACM严格遵守泡利不相容原理,而PACM不遵守。通过在哈密顿量中引入新的SO(3)动力学对称极限和三阶相互作用项,使SACM的讨论适应于相干态形式。构造了两种模型的势能面,发现泡利原理的影响可以用高阶相互作用项来模拟。本研究也是为了作为一个起点,调查相变在两个代数集团模型。

英文摘要:

The geometrical mapping of algebraic nuclear cluster models is investigated within the coherent state formalism. Two models are considered: the Semimicroscopic Algebraic Cluster Model (SACM) and the Phenomenological Algebraic Cluster Model (PACM), which is a special limit of the SACM. The SACM strictly observes the Pauli exclusion principle while the PACM does not. The discussion of the SACM is adapted to the coherent state formalism by introducing the new SO(3) dynamical symmetry limit and third-order interaction terms in the Hamiltonian. The potential energy surface is constructed in both models and it is found that the effects of the Pauli principle can be simulated by higher-order interaction terms in the PACM. The present study is also meant to serve as a starting point for investigating phase transitions in the two algebraic cluster models.

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