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

本研究计划从理论上研究了N=Z线附近不稳定核的结构。这项工作是与B.A.教授合作进行的。密歇根州立大学的布朗和GANIL的皮特货车伊萨克博士。已经取得了各种结果。其中，最突出的结果是确定了一个有效的核子核子相互作用的乐趣pf壳计算。这种计算在实际中是不可能的，而用蒙特卡罗壳模型则是可行的。我们得到了一个普适的相互作用，因此即使是中壳层核也能得到很好的描述。这项工作是与Brown教授合作完成的，我们与货车Isacker博士一起研究了N=Z=28和40或50之间的模型空间的有效相互作用。空间的有效性也讨论了相互作用玻色子模型。此外，还用许多新的代数公式研究了SPDF玻色子模型，并研究了N或Z=28的核作为半幻核的可能候选者的结构。球形和变形状态的共存是特别感兴趣的。蒙特卡洛壳模型在其中扮演了重要的角色。

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.