粒子-转子模型和推转壳模型中的能谱统计分析  

Spectral Statistics in Particles-Rotor Model and Cranking Model

作　　者：周先荣[1] 郭璐[2] 孟杰[1] 赵恩广[1] 

机构地区：[1]兰州重离子加速器国家实验室原子核理论中心,兰州730000 [2]中国科学院理论物理研究所,北京100080

出　　处：《高能物理与核物理》2002年第11期1125-1133,共9页High Energy Physics and Nuclear Physics

基　　金：国家自然科学基金 (1 983 5 0 1 0 ;1 0 0 470 0 1 );国家重点基础研究发展规划项目(G2 0 0 0 0 7740 7);中国科学院知识创新工程重要方向性项目(KJCX2 SW N0 2 )资助~~

摘　　要：用粒子 -转子模型和推转壳模型研究了 6个粒子分别填充在单j壳和双j壳上的混沌行为 .分析了单j壳和双j壳情况下能谱的最近邻能级间距分布和谱刚度随自旋及推转频率的变化 ,结果表明 ,当组态空间大小不变时 ,系统在双j壳 (g7/ 2 +d5 / 2 )情况下比在单j壳 (i13/ 2 )情况下更规则 ,而当组态空间从单j壳(i13/ 2 )扩大到双j壳 (i13/ 2 +g9/ 2 )时 ,系统的混沌程度变化不大 .同时比较了将Spectral statistics for six particles in single j and two j model coupled with a deformed core are studied in the frames of particles rotor model and cranking shell model. The nearest neighbor distribution of energy levels and spectral rigidity are studied as a function of the spin or cranking frequency, respectively. The results of single j shell are compared with those in two j case. The system becomes more regular when single j space ( i 13/2 ) is replaced by two j shell ( g 7/2 +d 5/2 ),although the basis size of the configuration space is unchanged. However,the degree of chaoticity of the system changes slightly when configuration space is enlarged by extending single j shell( i 13/2 ) to two j shell ( i 13/2 +g 9/2 ). Nuclear chaotic behavior is studied when we take a two body interaction as delta force and pairing interaction,respectively.

关 键 词：粒子-转子模型 推转壳模型 能谱统计 最近邻能级间距分布 能谱刚度 粒子物理学 

分 类 号：O413[理学—理论物理]