Tensor coupling effect on relativistic symmetries  

作　　者：ShouWan Chen DongPeng Li JianYou Guo 

机构地区：[1]School of Physics and Material Science, Anhui University [2]School of Electronic and Information Engineering, Hefei Normal University

出　　处：《Science China(Physics,Mechanics & Astronomy)》2016年第8期34-42,共9页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11175001,11405040,11575002 and 11205004);the Program for New Century Excellent Talents in University of China(Grant No.NCET-05-0558);the Excellent Talents Cultivation Foundation of Anhui Province(Grant No.2007Z018);the Natural Science Foundation of Anhui Province(Grant No.11040606M07);the 211 Project of Anhui University

摘　　要：The similarity renormalization group is used to transform the Dirac Hamiltonian with tensor coupling into a diagonal form. The upper(lower) diagonal element becomes a Schr¨odinger-like operator with the tensor component separated from the original Hamiltonian.Based on the operator, the tensor effect of the relativistic symmetries is explored with a focus on the single-particle energy contributed by the tensor coupling. The results show that the tensor coupling destroying(improving) the spin(pseudospin) symmetry is mainly attributed to the coupling of the spin-orbit and the tensor term, which plays an opposite role in the single-particle energy for the(pseudo-) spin-aligned and spin-unaligned states and has an important influence on the shell structure and its evolution.The similarity renormalization group is used to transform the Dirac Hamiltonian with tensor coupling into a diagonal form. The upper（lower） diagonal element becomes a Schr¨odinger-like operator with the tensor component separated from the original Hamiltonian.Based on the operator, the tensor effect of the relativistic symmetries is explored with a focus on the single-particle energy contributed by the tensor coupling. The results show that the tensor coupling destroying（improving） the spin（pseudospin） symmetry is mainly attributed to the coupling of the spin-orbit and the tensor term, which plays an opposite role in the single-particle energy for the（pseudo-） spin-aligned and spin-unaligned states and has an important influence on the shell structure and its evolution.

关 键 词：similarity renormalization group tensor relativistic symmetries 

分 类 号：O571[理学—粒子物理与原子核物理]