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arXiv 2212.04337nucl-th
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原子核的辛对称性与原子团簇

Symplectic symmetry and clustering in atomic nuclei

H. G. Ganev

摘要:

本文提出了一种新的基于辛的壳模型方法来研究原子核中的团簇,该方法考虑了简单系统$^{20}$ Ne。它与该系统的集体激发的关系也被提及。在单组分多粒子核系统中,给出了具有最大置换对称性的$^{16}$ O+ $^{4}$ He $\rightarrow$ $^{20}$ Ne通道的Pauli允许Hilbert空间的构造.证明了所得到的团簇模型空间与半微观代数团簇模型空间的等价性。

英文摘要:

A new symplectic-based shell-model approach to clustering in atomic nuclei is proposed by considering the simple system $^{20}$Ne. Its relation to the collective excitations of this system is mentioned as well. The construction of the Pauli allowed Hilbert space of the cluster states with maximal permutational symmetry is given for the $^{16}$O+$^{4}$He $\rightarrow$ $^{20}$Ne channel in the case of one-component many-particle nuclear system. The equivalence of the obtained cluster model space to that of the semi-microscopic algebraic cluster model is demonstrated.

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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