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arXiv 1101.0958nucl-th
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用极大似然估计法研究核能级的能级间距分布

Investigation of level spacing distribution of nuclear energy levels by maximum likelihood estimation method

M. A. Jafarizadeh, N. Fouladi, H. Sabri, B. Rashidian Maleki

摘要:

最近邻间距分布(NNSD)是核能能级统计分析的常用方法之一。本文提出了用极大似然估计(MLE)方法来估计解释核系统混沌和规则行为的(NNSD)参数,并与Cramer-Rao下界(CRLB)相比较,减小了我们结果的不确定性。我们计算这些参数为不同的质量群和原子核的变形参数的特殊值,也为原子核与IBM的三个动力学对称性和过渡区之间的这三个限制,并确认理论预测,即使在小尺寸的数据不允许与以前的方法的确切结论的情况下。我们得到更好的一致性,我们的结果与泊松和维格纳(GOE)分布与Kullback-Leibeller分歧。

英文摘要:

The nearest neighbor spacing distribution (NNSD) is one of common methods in statistical analysis of nuclear energy levels. In this paper, we have proposed Maximum Likelihood Estimation (MLE) method to evaluate parameter of (NNSD)'s which explain chaotic and regular behavior of nuclear systems .Also with Cramer-Rao Lower Bound (CRLB) will obtain decreasing of uncertainty for our results in compare to previous methods. We calculate these parameters for different mass groups and nuclei with special values of deformation parameter, and also for nuclei with IBM's three dynamical symmetries and transitional regions between these three limits and confirm theoretical predictions even in cases where the small size of data don't allow exact conclusions with previous methods . We obtain better consistent of our results with Poisson and Wigner(GOE) distributions with Kullback-Leibeller divergence.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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