相互作用玻色子模型的连续变量解

The Continuous Variables Solution of Interacting Boson Model

采用动力学群表示下的生成座标方法,得以有效地求出相互作用玻色子模型(IBM-Ⅰ、IBM-Ⅱ、含巨共振的互作用模型.)所对应的动态集体运动方程和静态势能面.通过分析势能面,即平均场与动力学对称性的联系,得以统一地处理球形核和形变核,如此得出的集体运动方程是厄米的,所求得的数值解与互作用玻色子模型代数解一致,说明该几何化的途径是可行的。

It is shown that the generator coordinate method with dynamic symmetry grouprepresentation (DGR-GCM) is a powerful approach to derive the continuous variablesrepresentation of the interacting boson models (IBM-i, IBM-Ⅱ, IBM of spd). The po-tential energy surface as well as the dynamical collective equation can be obtained in anunified way. By solving the hermitian collective equation under the low velosity approx-imation, the calculated energy spectra of spherical and deformed nuclei are equivalent tothat of the Phint Code results. The Scissor Mode can be reproduced in the exact positioncompared to the result of IBM-Ⅱ. Including the giant dipole resonance the algebra solu-tion of IBM spd is compared to the continuous (geometrical) variables solution as well.