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arXiv 1204.0693nucl-exnucl-th
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中子共振数据与随机矩阵理论

Neutron Resonance Data Exclude Random Matrix Theory

P. E. Koehler, F. Bečvář, M. Krtička, K. H. Guber, J. L. Ullmann

摘要:

几乎从它形成的时候起,压倒性的共识就是随机矩阵理论(RMT)与中子共振数据非常一致。然而,在过去的几年里,我们在橡树岭和洛斯阿拉莫斯国家实验室获得了新的中子宽度数据,这些数据与这一理论完全不一致。我们还重新分析了最著名的数据集,核数据系综(NDE)中的中子宽度,发现它存在严重缺陷,并且当仔细分析时,以高置信度排除了RMT。最近,我们用$Δ_{3}$统计量仔细研究了NDE中这些相同共振的能量间距。我们的结论是,数据可以被发现,以确认或反驳的理论,这取决于哪些核素和是否已知或怀疑的p波共振包括在分析中,在本质上确认我们的中子宽度分析的NDE的结果。我们还研究了橡树岭和洛斯阿拉莫斯测量的辐射宽度,发现在某些情况下,它们与RMT不一致。虽然这些分歧目前还没有被理解,但它们可能对基础和应用核物理学产生广泛的影响,从核天体物理学到核临界安全。

英文摘要:

Almost since the time it was formulated, the overwhelming consensus has been that random matrix theory (RMT) is in excellent agreement with neutron resonance data. However, over the past few years, we have obtained new neutron-width data at Oak Ridge and Los Alamos National Laboratories that are in stark disagreement with this theory. We also have reanalyzed neutron widths in the most famous data set, the nuclear data ensemble (NDE), and found that it is seriously flawed, and, when analyzed carefully, excludes RMT with high confidence. More recently, we carefully examined energy spacings for these same resonances in the NDE using the $Δ_{3}$ statistic. We conclude that the data can be found to either confirm or refute the theory depending on which nuclides and whether known or suspected p-wave resonances are included in the analysis, in essence confirming results of our neutron-width analysis of the NDE. We also have examined radiation widths resulting from our Oak Ridge and Los Alamos measurements, and find that in some cases they do not agree with RMT. Although these disagreements presently are not understood, they could have broad impact on basic and applied nuclear physics, from nuclear astrophysics to nuclear criticality safety.

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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