Fluctuation Properties of Nuclear Energy Levels: Do Theory and Experiment Agree?

Haq, Rizwan Ul; Pandey, Akhilesh; Bohigas, O.

doi:10.1103/physrevlett.48.1086

Cited by 368 publications

(235 citation statements)

References 13 publications

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“…Given that our analyses of neutron widths as well as energies for the same NDE resonances reveal many disagreements with predictions of RMT for the GOE, it is obvious to ask why the full NDE was found to be [9,10] in excellent agreement with this theory. As detailed in Ref.…”

Section: Overall Assessment Of the Ndementioning

confidence: 79%

“…Hence, it does not seem surprising that at least one set could be found which agrees with the statistics predicted by RMT for the GOE tested in Refs. [9,10]. In other words, the NDE likely demonstrates that it is possible to take an incomplete data set and make it agree with GOE statistics by also making it impure.…”

Section: Overall Assessment Of the Ndementioning

confidence: 99%

“…The NDE [9,10] is a set of 157 proton and 1250 neutron resonance energies consisting of 30 sequences in 27 different medium-weight and heavy nuclides. The ensemble was assembled to test predictions of RMT.…”

Section: Testing Rmt With the Ndementioning

confidence: 99%

“…Following the approach of Refs. [9,10], all the individual ∆ ′ 3 values for a given L were averaged over the range of possible λ 0 values to obtain an averaged statistic, ∆ ′ 3 (L) , which is applicable to any subset I ′ of the full set I of the available experimental NDE sequences for individual nuclei:…”

Section: ∆ 3 Statisticmentioning

confidence: 99%

“…In addition to our own data, we have reanalyzed [8] neutron widths in the most famous data set [9,10], the so-called nuclear data ensemble (NDE). More recently, we have reanalyzed energy spacings for these same resonances, with careful attention to evaluation of uncertainties.…”

Section: Introductionmentioning

confidence: 99%

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Neutron resonance data exclude random matrix theory

Koehler

Bečvář

Krtička

et al. 2012

Fortschritte der Physik

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Key words Porter-Thomas distribution, random matrix theory.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 ∆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.

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Section: Overall Assessment Of the Ndementioning

confidence: 79%

Section: Overall Assessment Of the Ndementioning

confidence: 99%

Section: Testing Rmt With the Ndementioning

confidence: 99%

Section: ∆ 3 Statisticmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Neutron resonance data exclude random matrix theory

Koehler

Bečvář

Krtička

et al. 2012

Fortschritte der Physik

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Multimode Molecular Dynamics Beyond the Born‐Oppenheimer Approximation

Köuppel

Domcke

Cederbaum

1984

Advances in Chemical Physics

1,199

830

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Experimental Realization of Anti‐Unitary Wave‐Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics

Ma,

Anlage

2023

Advanced Optical Materials

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Working in analogy with topological insulators in condensed matter, photonic topological insulators (PTI) have been experimentally realized, and protected electromagnetic edge‐modes have been demonstrated in such systems. Moreover, PTI technology also emulates a synthetic spin‐1/2 degree of freedom (DOF) in the reflectionless topological modes. The spin‐1/2 DOF is carried by quantum valley Hall (QVH)/quantum spin Hall (QSH) interface modes created from the bianisotropic meta waveguide platform and realized both in simulation and experiment. The PTI setting is employed to build an ensemble of wave chaotic 1D metric graphs that display statistical properties consistent with Gaussian symplectic ensemble (GSE) statistics. The two critical ingredients required to create a physical system in the GSE universality class, the half‐integer‐spin DOF and preserved time‐reversal invariance, are clearly realized in the QVH/QSH interface modes. The anti‐unitary T‐operator is identified for the PTI Hamiltonian underlying the experimental realization. An ensemble of PTI‐edgemode metric graphs are proposed and experimentally demonstrated. Then, the Kramers degeneracy of eigenmodes of the PTI‐graph systems is demonstrated with both numerical and experimental studies. Further, spectral statistical studies of the edgemode graphs are studied, and good agreement with the GSE theoretical predictions is found. The PTI chaotic graph structures present an innovative and easily extendable platform for continued future investigation of GSE systems.

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Fluctuation Properties of Nuclear Energy Levels: Do Theory and Experiment Agree?

Cited by 368 publications

References 13 publications

Neutron resonance data exclude random matrix theory

Neutron resonance data exclude random matrix theory

Multimode Molecular Dynamics Beyond the Born‐Oppenheimer Approximation

Experimental Realization of Anti‐Unitary Wave‐Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics

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