Basis-dependent measures and analysis uncertainties in nuclear chaoticity
Basis-dependent measures and analysis uncertainties in nuclear chaoticity
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核混沌中的依赖于基础的测量和分析不确定性
DOI：
10.1016/j.physletb.2020.135676
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发表时间：
2020
影响因子：
4.4
通讯作者：
Yang Sun
中科院分区：
文献类型：
--
作者：
Long-Jun Wang;Fang-Qi Chen;Yang Sun
核的混沌性通常通过分析波函数的信息熵来测量，或者通过谱刚度和最近邻能级间隔（NNLS）分布的谱统计来测量。我们表明，虽然信息熵（或局域长度）是一个依赖于基的量，但它有助于理解波函数的复杂性，特别是当相应的能级位于高度激发的密集区域时。另一方面，尽管用于光谱统计的核能级是量子力学可观测的，但人们必须通过依赖于模型（和参数）的展开过程来处理它们，这可能会给得出结论带来很大的不确定性。通过应用投影壳层模型，我们用对变形良好的奇质量核153 Nd计算的~ 20,000 J π= 1/2+能级的集合来解决这些问题。讨论了导致核混沌的剩余相互作用。
Chaoticity in nuclei is usually measured by the information entropy through analyzing wave functions, or by spectral statistics with the spectral rigidity and the nearest neighbor level spacing (NNLS) distribution. We show that although information entropy (or localization length) is a basis-dependent quantity, it is helpful for understanding the complexity of wave functions, especially when the corresponding levels lie in a highly-excited, dense region. On the other hand, although nuclear levels used for spectral statistics are quantum-mechanically observable, one has to treat them through a model-(and parameter-) dependent unfolding procedure, which may introduce large uncertainties for drawing a conclusion. By applying the projected shell model, we address these problems with an ensemble of∼ 20,000 J π= 1/2+ levels calculated for the well-deformed, odd-mass nucleus 153 Nd. Residual interactions that are responsible for nuclear chaoticity are discussed as well.