粒子-转子模型和推转壳模型中的能谱统计分析

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(g_7/2+d_5/2)情况下比在单j壳(i_13/2)情况下更规则,而当组态空间从单j壳(i_13/2)扩大到双j壳(i_13/2+g_9/2)时,系统的混沌程度变化不大.同时比较了将6个粒子的两体相互作用分别取为δ力和对力时的系统的混沌行为

Spectral Statistics in Particles-Rotor Model and Cranking Model

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.