质子-中子相互作用玻色子模型SU(3)算法与简单应用

The SU(3) Algorithm and Simple Application of the Proton-neutron Interacting Boson Model

质子-中子相互作用玻色子模型(简称IBM-2)具有很好的壳模型微观基础,是描述中重质量偶偶核结构的标准模型之一。对比早期建立在弱耦合U(5)基底的NPBOS算法,本文介绍基于弱耦合SU(3)基底求解IBM-2模型哈密顿量的新算法结构,通过举例典型相互作用项在SU(3)基底下矩阵元说明如何利用SU(3)群代数技术求解IBM-2哈密顿量,并应用该算法求解常Q形式哈密顿量来拟合过渡区核素^(152,154)Sm低激发实验数据,提供了一个展示SU(3)算法可靠性和利用IBM-2描述过渡区核素的应用实例。

With the robust shell-model foundation, the proton-neutron interacting boson model(IBM-2) is considered to be one of the standard models for the descriptions of heavy and intermediate-heavy nuclei. In this work,we demonstrate a new algorithm that is used to solve the IBM-2 Hamiltonian in the weak-coupling SU(3) basis in contrast to the original NPBOS algorithm in terms of the weak-coupling U(5) basis. Specifically, the SU(3) matrix element of a typical interactional term is given as an example to illustrate how to solve the IBM-2 Hamiltonian using the SU(3) group-algebra technique. With this algorithm, the consistent-Q Hamiltonian has been solved and applied to fit the low-lying experimental data for^(152,154)Sm, which therefore provides an example for using the IBM-2 to describe the transitional nuclei and testing the validity of the SU(3) algorithm.