The Fourier transform as a signature for chaos in nuclear energy levels

Bybee, C. R.; Mitchell, G. E.; Shriner, J. F.

doi:10.1007/bf02769701

Cited by 2 publications

(2 citation statements)

References 8 publications

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“…[9,10] appear to have ignored these limitations, and the good agreement between data and theory claimed appears to be due to the fact that many of the data used were selected using the theory being tested. Other tests that are purported to be less sensitive to missing or spurious resonances have been proposed [40], but have been shown [41] to lead to ambiguous results for sample sizes typical of nuclear data.…”

Section: Discussionmentioning

confidence: 99%

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: Discussionmentioning

confidence: 99%

Neutron resonance data exclude random matrix theory

Koehler

Bečvář

Krtička

et al. 2012

Fortschritte der Physik

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show abstract

“…We began studies to establish a complete level scheme for 30P, so that we could have a second case from the ground state to above the separation energy [lo]; included in these studies was the design and installation of a Compton-suppressed spectrometer for use in proton capture measurements [ll]. Because of the sensitivity of these tests to the quality of data, we have also searched for other possible signature; the Fourier transform has been suggested as one such tool, but our study showed that this would probably not be an appropriate signature for a single nuclide due to the small number of levels [12]. Work was begun on a study of using reduced transition probability distributions as a signature of chaos.…”

Section: Chaosmentioning

confidence: 99%

Proton resonance spectroscopy. Final performance report, June 1987--May 1996

Shriner¹

1998

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The Fourier transform as a signature for chaos in nuclear energy levels

Cited by 2 publications

References 8 publications

Neutron resonance data exclude random matrix theory

Neutron resonance data exclude random matrix theory

Proton resonance spectroscopy. Final performance report, June 1987--May 1996

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