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

通过蒙特卡罗壳模型计算 N=Z 附近不稳定核的结构

• 批准号: 10044059
• 负责人: OTSUKA Takaharu
• 金额: $ 2.24万
• 依托单位: The University of Tokyo
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B).
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10044059/
• 关键词: shell model; Monte Carlo Shell Model; pf shell; effective interaction; Interacting Boson Model; Boson; Octupole deformation; f boson; 量子モンテカルロ対角化法; 不安定核; ペアリング; IBM4; 2p2h励起; 4p4h励起

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.

在该研究项目中，从理论上研究了N = Z线附近的不稳定核的结构。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Piet Van Isacker博士。已经获得了各种结果。其中，最突出的结果是确定有效的核子核子相互作用，以进行有趣的PF壳计算。实际上，这种计算是不可能的，并且通过Monte Carlo Shell模型变得可行。我们已经获得了通用的相互作用，因此即使是中壳核也可以很好地描述。这项工作是与布朗教授合作完成的。与范·伊萨克（Van Isacker）博士一起，我们研究了n = z = 28和40或50之间的模型空间的有效相互作用。还与相互作用的玻色子模型讨论了该空间的有效性。此外，使用许多新的代数公式研究了SPDF玻色子模型。n或z = 28的核的结构是半魔法核的候选者。球形和变形状态的共存尤其令人感兴趣。蒙特卡洛·壳（Monte Carlo Shell）模型发挥了至关重要的作用。

项目成果

T.Mizusaki: "Shape coexistence in doubly-magic ^<56>Ni by the Monte Carlo Shell Model" Physical Review C. 59・4to be published. (1999)

T.Mizusaki：“双重魔法中的形状共存^<56>Ni by the Monte Carlo Shell Model”Physical Review C.59・4即将出版（1999）。

N. Pietralla: "Transition rates between mixed symmetry states first measurement in ィイD194ィエD1Mo"Phys. Rev. Lett.. 83. 1303-1306 (1999)

N. Pietralla：“D194D1Mo 中混合对称态之间的首次测量”Phys Rev. Lett.. 83. 1303-1306 (1999)

B. Friessner: "Low spin structure of the N=Z odd-odd nucleus ィイD146ィエD1ィイD223ィエD2VィイD223ィエD2"Phys. Rev. C. 60. 011304-1-011304-5 (1999)

B. Friessner：“N=Z 奇奇核的低自旋结构 Phys. Rev. C. 60. 011304-1-011304-5 (1999)

N.Pietralla: "Transition rates between mixed symmetry states : first measurement in <@D94@>D2Mo"Phys. Rev. Lett.. 83. 1303-1306 (1999)

N.Pietralla：“混合对称态之间的跃迁速率：<@D94@>D2Mo 中的首次测量”Phys。

T.Otsuka: "Monte Carlo shell-model calulations"J.Phys.G : Nucl.Part.Phys.. 25. 699-715 (1999)

T.Otsuka：“蒙特卡罗壳模型计算”J.Phys.G：Nucl.Part.Phys.. 25. 699-715 (1999)