全同费米子与玻色子系统中的SU(3)动力学  

The SU(3)Dynamics in the Identical Fermion and Boson Systems

作　　者：王金凤 周小琦 张宇[1] WANG Jinfeng;ZHOU Xiaoqi;ZHANG Yu(School of Physics and Electronic Technology,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》2024年第1期221-225,共5页Nuclear Physics Review

基　　金：国家自然科学基金资助项目(12375113,11875158)。

摘　　要：基于群代数理论,描述了如何构建s,d两轨道能级下的全同费米子体系与全同玻色子体系四极-四极相互作用动力学,据此探讨了全同性原理对核多体系统动力学结构的影响。结果表明,给定粒子数情况下全同费米子体系中低自旋态的空间维数的要比全同玻色子系统中同样自旋态的空间维数大得多,意味着同等条件下前者包含更多更丰富的转动带结构。本工作分析展示了一个基于SU(3)群代数理论分析核结构模型的简单实例。Based on the group-algebra theory,we illustrate how to build the quadrupole-quadrupole dynamics for the identical fermion and boson systems within the s,d single-particle orbits,by which the influence of identity principle on the manybody dynamical structures of nuclei is discussed.The results indicate that the dimension of low-spin states in the identical fermion system with a given number of particle is much larger than the corresponding situation in the identical boson system,which means that the former can involve a richer rotational structure than the latter under similar conditions.The present analysis provides an example for analyzing nuclear structural model using the SU(3)group-algebra theory.

关 键 词：SU(3)群 四极-四极相互作用 壳模型 相互作用玻色子模型 

分 类 号：O571.21[理学—粒子物理与原子核物理]