类重整化群方法研究相对论对称性的进展  

Progress on relativistic symmetries by similarity renormalization group

作　　者：李冬鹏[1,2] 郭建友[1] 

机构地区：[1]安徽大学物理与材料科学学院,合肥230039 [2]合肥师范学院电子信息工程学院,合肥230601

出　　处：《中国科学：物理学、力学、天文学》2016年第1期36-46,共11页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金资助项目(批准号:11405040;11175001)

摘　　要：本文概述了类重整化群方法研究相对论对称性的一些进展,分别在球形和轴对称情况下,给出了理论的推导过程.在协变密度泛函理论框架下,应用类重整化群方法把Dirac哈密顿量转换成了对角形式,分解出了非相对论、动力学、自旋轨道耦合、Darwin和动能的相对论修正等5个有物理意义的组分算符,并用这个算符探究了相对论对称性的起源和破缺机制.结果表明:自旋对称性几乎完全归因于自旋轨道耦合,而赝自旋对称性与非相对论项、动力学项和自旋轨道耦合都相关.In the paper, we have outlined some progress on the researches of relativistic symmetries using the similarity renormalization group method and presented the theoretical details for the spherical and axially deformed nuclei. The Dirac Hamiltonian obtained from covariant density functional theory is transformed into a diagonal form, where the upper （lower） diagonal element becomes an operator describing the Dirac （anti-） particle. Every diagonal operator is made up of these components, which respectively correspond to the nonrelativistic term, the dynamical term, the spin-orbit interactions, the relativistic modification of kinetic energy, and the Darwin term. By using the operator, we have explored the origin and the broken mechanism of relativistic symmetries for the spherical and axially deformed nuclei. The results show that the breaking of spin symmetry almost completely is attributed to the spin-orbit interactions, while the pseudospin symmetry is related to the nonrelativistic term, the dynamical term and the spin-orbit coupling term.

关 键 词：相对论对称性 类重整化群方法 协变密度泛函理论 

分 类 号：O571[理学—粒子物理与原子核物理]