Structure of unstable nuclei near N=Z by Monte Carlo Shell Model

本课题从理论上研究了N=Z线附近不稳定原子核的结构。这项工作是与密歇根州立大学的B.A. Brown教授和GANIL的Piet Van isacker博士合作进行的。得到了各种各样的结果。其中，最突出的结果是确定了有效的核子-核子相互作用，用于有趣的pf壳计算。这样的计算在实际中是不可能的，通过蒙特卡罗壳模型使之成为可能。我们已经得到了一个普遍的相互作用，因此即使是中壳层核也可以很好地描述，而且精度很高。这项工作是与布朗教授合作完成的。与Van Isacker博士一起，我们研究了N=Z=28和40或50之间模型空间的有效相互作用。本文还结合相互作用玻色子模型讨论了空间的有效性。此外，用许多新的代数公式研究了spdf玻色子模型。研究了N =28或Z=28的原子核结构作为半幻核的可能候选者。球态和变形态的共存是特别有趣的。蒙特卡罗壳模型起了至关重要的作用。

The structure of unstable nuclei near N=Z line is studied theoretically in this research project. The work has been carried out in collaboration with Professor B.A. Brown of Michigan State University and Dr. Piet Van isacker of GANIL. Various results have been obtained. Among those, the most prominent result is the determination of an effective nucleon-nucleon interaction for fun pf-shell calculations. Such calculations have been impossible practically, and have become feasible by Monte Carlo Shell Model. We have obtained a universal interaction so that even mid-shell nuclei can be well described with a good accuracy. This work has been done in collaboration with Prof. Brown.With Dr. Van Isacker, we have investigated effective interaction for the model space between N=Z=28 and 40 or 50. The validity of the space is also discussed in connection to the Interacting Boson Model. In addition, the spdf boson model is studied with many new algebraic formulas.The structure of nuclei with N or Z=28 is studied as possible candidates of semi-magic nuclei. The coexistence of spherical and deformed states is of particular interest. The Monte Carlo Shell Model played a crucial role.