IBM1中s—d玻色子系统能谱公式的李代数处理

IBM1中s—d玻色子系统能谱公式的李代数处理 ON THE APPLICATION OF LIE ALGEBRA TO STUDY THE NUCLEAR SPECTRA IN THE SYSTEM OF s-d BOSONS IN THE FRAMEWORK OF IBM1 胡承正 Hu Chengzheng first-author 本文利用标准李代数方法给出了O（5）、SU（3）、O（6）李代数的无穷小生成元,确定了这些群的Casimir算子,从而统一地由s—d玻色子系统哈密顿量的一般表达式直接导出振动、转动、O（6）极限下的期待值;并对几个偶—偶核能谱的理论值和实验值进行了比较;最后考虑到核相互作用中多体力的存在,对SU（3）极限下s—d玻色子系统哈密顿量表式进行了修正,并计算了修正后它的期待值,改善了转动能谱基带中理论值与实验值的符合程度。 In this paper both the infinitesimal operators and the Casimir operators of O（5）, SU（3） and O（6） for the system of s—d bosons in IBM1 are derived by the aid of Lie algebra. The expectation values of the Hamiltonian thus obtained for the vibrational limit, the rotational limit and the O（6） limit respectively. The comparisions between experimental and theoretical spectra for some even-even nuclei are made. Finally, when the many-body forces in interactions are taken into consideration and the Hamiltonian of s-d bosons system is correcd for the SU（3） limit, we have found the theoretical results are in better agreement with the experimental. 1982-02-01 2021-04-01 2