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arXiv 1910.05046nucl-th
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泡利原理对双团簇potential energy的影响

Influence of the Pauli principle on two-cluster potential energy

Yu. A. Lashko, V. S. Vasilevsky, G. F. Filippov

摘要:

我们研究了泡利原理对两团簇系统势能的影响。研究的对象是具有占主导地位的$α$ -团簇通道的p壳层最轻的核。为了这个目的,我们构造矩阵元素的两个集群势能之间的集群振荡器功能与不完全反对称化。详细研究了势能矩阵的本征值和本征函数。在振子空间、坐标空间和动量空间中给出了势能算符的本征函数。我们证明了泡利原理对本征函数的影响比对矩阵本征值的影响更大,并导致共振态和陷阱态的形成。

英文摘要:

We study effects of the Pauli principle on the potential energy of two-cluster systems. The object of the investigation is the lightest nuclei of p-shell with a dominant $α$-cluster channel. For this aim we construct matrix elements of two-cluster potential energy between cluster oscillator functions with and without full antisymmetrization. Eigenvalues and eigenfunctions of the potential energy matrix are studied in detail. Eigenfunctions of the potential energy operator are presented in oscillator, coordinate and momentum spaces. We demonstrate that the Pauli principle affects more strongly the eigenfunctions than the eigenvalues of the matrix and leads to the formation of resonance and trapped states.

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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