Effective Hamiltonian in non-degenerate model space

International Symposium on Exotic Nuclear Structure From Nucleons 2012

Takayanagi, K.^1 ; Tsunoda, N.^2 ; Hjorth-Jensen, M.^3,4 ; Otsuka, T.^2

Department of Physics, Sophia University, 7-1 Kioi-cho, Tokyo 102-8554, Japan^1

Department of Physics, University of Tokyo, Hongo, Tokyo 113-0033, Japan^2

Department of Physics, Center of Mathematics for Applications, University of Oslo, N-0316 Oslo, Norway^3

National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, MI 48824, United States^4

关键词: Ad hoc methods;    Degenerate model;    Effective Hamiltonian;    Effective interactions;    Many-body systems;    Microscopic description;    Neutron-rich nuclei;    Shell models;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/445/1/012003/pdf
DOI  :  10.1088/1742-6596/445/1/012003

来源: IOP

【 摘 要 】

We present a novel method to calculate a microscopic effective interaction in many-body systems. This method applies not only to degenerate model spaces but also to non-degenerate model spaces, and therefore allows us to construct microscopically the effective interaction in multi-major-shell model spaces. As an application of this novel method, we examine the effective interaction between valence neutrons of18O in the sd-shell (model space of single-major-shell), and in the sdf7p3-shell (model space of multi-major-shells). We find that the microscopic cross-shell interactions are much more attractive than have been expected by ad hoc methods. Our approach presents an essential step to a microscopic description of nuclei in multi-major-shells, which is crucial, e.g., to describe many of the neutron-rich nuclei.