Patterns of the ground states in the presence of random interactions: Nucleon systems
Patterns of the ground states in the presence of random interactions: Nucleon systems
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DOI：
10.1103/physrevc.70.054322
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发表时间：
2004-04
影响因子：
3.1
通讯作者：
Y. M. Zhao;A. Arima;N. Shimizu;K. Ogawa;N. Yoshinaga;O. Scholten
中科院分区：
文献类型：
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作者：
Y. M. Zhao;A. Arima;N. Shimizu;K. Ogawa;N. Yoshinaga;O. Scholten
我们展示了存在随机二体相互作用时核子系统基态性质的结果。特别是，我们计算宇称、资历、光谱（即在实验室框架中）四极矩的概率分布，并讨论基态的聚类。我们发现，二体随机系综获得的基态宇称性概率分布模拟了大于或等于70的现实原子核的概率分布：偶偶核基态中正宇称占主导地位，而对于奇奇核和奇质量原子核，我们以几乎相等的概率获得正宇称和负宇称的基态。此外，假设纯随机相互作用，我们发现，对于基态，低资历不受欢迎，没有观察到光谱四极变形的正值占主导地位，并且没有α聚类相关的迹象，所有这些都与现实原子核形成鲜明对比。考虑到随机和现实相互作用的混合，我们观察到 a 聚类相关概率的二阶相变。
We present our results on properties of ground states for nucleonic systems in the presence of random two-body interactions. In particular, we calculate probability distributions for parity, seniority, spectroscopic (i.e., in the laboratory frame) quadrupole moments, and discuss a clustering in the ground states. We find that the probability distribution for the parity of the ground states obtained by a two-body random ensemble simulates that of realistic nuclei with Agreater than or equal to70: positive parity is dominant in the ground states of even-even nuclei, while for odd-odd nuclei and odd-mass nuclei we obtain with almost equal probability ground states with positive and negative parity. In addition, assuming pure random interactions, we find that, for the ground states, low seniority is not favored, no dominance of positive values of spectroscopic quadrupole deformation is observed, and there is no sign of alpha-clustering correlation, all in sharp contrast to realistic nuclei. Considering a mixture of a random and a realistic interaction, we observe a second-order phase transition for the a-clustering correlation probability.