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

作　　者：胡宝越 吴宇晴 滕威 胡静 张宇[1] HU Baoyue;WU Yuqing;TENG Wei;HU Jing;ZHANG Yu(Department of Physics,Liaoning Normal University,Dalian 116029,Liaoning,China)

机构地区：[1]辽宁师范大学物理与电子技术学院,辽宁大连116029

出　　处：《原子核物理评论》2021年第4期368-372,共5页Nuclear Physics Review

基　　金：国家自然科学基金资助项目(11875158)。

摘　　要：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.

关 键 词：质子-中子相互作用玻色子模型 SU(3)基底 常Q哈密顿量 

分 类 号：O571.21[理学—粒子物理与原子核物理]