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Consistent description of C-12 and O-16 using a finite-range three-body interaction

机译：C-12和O-16的一致描述使用有限范围的三体相互作用

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摘要

Consistent description of C-12 and O-16 has been a long-standing problem of microscopic a cluster models, where the wave function is fully antisymmetrized and the effective interaction is applied not between a clusters but between nucleons. When the effective interaction is designed to reproduce the binding energy of O-16 ( four a), the binding energy of C-12 (three alpha) becomes underbound by about 10 MeV. In the present study, by taking into account the coupling with the jj-coupling shell model components and utilizing the Tohsaki interaction, which is phenomenological but has finite-range three-body interaction terms, it is shown that consistent understanding of these nuclei can be achieved. The original Tohsaki interaction gives a small overbound value of about 3 MeV for O-16, and this is improved by slightly modifying the three-body Majorana exchange parameter. Also, the coupling with the jj-coupling shell model wave function strongly contributes to the increase of the binding energy of C-12. So far the application of the Tohsaki interaction has been limited to N-4 nuclei; here, Bartlet and Heisenberg exchange terms are added in the two-body interaction part for the purpose of applying it to neutron-rich systems, and it is applied to He-6.
机译：C-12和O-16的一致描述是显微镜的长期存在的簇模型，其中波函数是完全反击的，并且施加有效的相互作用而不是在核子之间施加。当设计有效相互作用以再现O-16（四A）的结合能量时，C-12（三种α）的结合能变为大约10MeV的欠率。在本研究中，通过考虑与JJ偶联壳模型组分的耦合并利用Tohsaki相互作用，这是现象学，但具有有限的三体相互作用术语，结果表明对这些细胞核的一致了解实现。原始Tohsaki交互为O-16提供了大约3 mev的小过发射值，通过略微修改三体Majorana Exchange参数来提高这一点。而且，与JJ耦合壳模型波函数的耦合强烈有助于C-12的结合能的增加。到目前为止，Tohsaki相互作用的应用仅限于N-4核;这里，在双体相互作用部件中添加了巴特拉特和海森堡交换术语，以便将其施加到富中子的系统中，并且它适用于He-6。

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