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
王金凤 1周小琦 1张宇1
作者信息
- 1. 辽宁师范大学物理与电子技术学院,辽宁大连 116029
- 折叠
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.
Abstract
Based on the group-algebra theory,we illustrate how to build the quadrupole-quadrupole dynamics for the identic-al fermion and boson systems within the s,d single-particle orbits,by which the influence of identity principle on the many-body dynamical structures of nuclei is discussed.The results indicate that the dimension of low-spin states in the identical fer-mion 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 ana-lysis 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Key words
SU(3)group/quadrupole-quadrupole interaction/shell model/the interacting boson model引用本文复制引用
基金项目
国家自然科学基金资助项目(12375113)
国家自然科学基金资助项目(11875158)
出版年
2024
NETL
NSTL
万方数据