Study of Structure of Unstable Nuclei by the Variational Shell Model

不稳定核结构的变分壳模型研究

基本信息

批准号：
04804012
负责人：
OTSUKA Takaharu
金额：
$ 1.28万
依托单位：
The University of Tokyo
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1992
资助国家：
日本
起止时间：
1992 至 1993
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04804012/
关键词：
Shell Model Unstable Nuclei Variational Shell Model Skyrme Interaction ^<11>Be 中性子ハロー ^<13>C 中性子捕獲 E1遷移

项目摘要

The computer program for calculating energy minimum and single-particle wave functions based on the Variational Shell Model has been completed. Although the nucleon-nucleon interaction is still restricted to delta function and its derivative, this program enables us to obtain the exact solution. Previously only an approximate solution could be obtained.We heve carried out the present research program so that one can describe the structure of various nuclei, including those under extreme conditions, in terms of the Variational Shell Model (VSM). By using the Skyrme III interaction, which is actually a most standard interaction, the neutron halo and anomalous ground state of ^<11>Be have been reproduced quite well by the VSM.By similar calculations, energy levels, electric quadrupole moments, magnetic moments, etc.have been reproduced well for nuclei with the mass number about 10. In order to study effective nucleon-nucleon interactions in neutron-rich nuclei, Hartree-Fock (HF) calculations have been performed. By such HF calculations, the presence and the characteristic features of the neutron skin were predicted for neutron-rich unstable nuclei. The nuetron halo appears naturally in excited states of stable nuclei in the VSM calculations, and we proposed that the wave functions of such can be confirmed by direct neutron capture experiments.

基于变分壳模型计算能量最小值和单粒子波函数的计算机程序已经完成。尽管核子-核子相互作用仍然局限于δ函数及其导数，但该程序使我们能够获得精确的解。以前只能得到一个近似解。我们进行了目前的研究计划，以便可以用变分壳模型（VSM）来描述各种原子核的结构，包括极端条件下的结构。通过使用Skyrme III相互作用，这实际上是最标准的相互作用，VSM很好地再现了中子晕和^<11>Be的反常基态。通过类似的计算，能级、电四极矩、磁矩等对于质量数约为 10 的原子核得到了很好的再现。为了研究富中子原子核中有效的核子-核子相互作用，Hartree-Fock (HF) 计算已执行。通过这种高频计算，可以预测富中子不稳定核的中子皮的存在和特征。在VSM计算中，中子晕自然出现在稳定核的激发态中，我们提出可以通过直接中子俘获实验来证实中子晕的波函数。