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Cross Section Correlation Functions and Deviations from the Porter-Thomas Distribution

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Compound-Nuclear Reactions

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 254))

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Abstract

The long-held belief that, in a compound nucleus (CN), fluctuations in transition strengths are drawn from a Porter-Thomas distribution (PTD), i.e., a χ2 distribution of one degree of freedom has been challenged by work done post-1990 at the Los Alamos Neutron Science Center and Oak Ridge Electron Linear Accelerator facilities. To date, the focus has been on data taken in the resolved resonance regime. I put forward arguments in support of the analysis of measurements of the total cross section in the unresolved but not strongly overlapping resonance regime.

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Notes

  1. 1.

    In (1), the angle brackets denote an average over the scattering energy E.

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Acknowledgements

This work was supported in part by the US Department of Energy under Grant No. DE-FG02-97ER41042.

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Authors and Affiliations

  1. North Carolina State University, Raleigh, NC, USA

    Edward D. Davis

Authors
  1. Edward D. Davis
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Corresponding author

Correspondence to Edward D. Davis .

Editor information

Editors and Affiliations

  1. Lawrence Livermore National Laboratory, Livermore, CA, USA

    Jutta Escher

  2. Department of Physics, Yale University, New Haven, CT, USA

    Yoram Alhassid

  3. Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Lee A. Bernstein

  4. National Nuclear Data Center, Brookhaven National Laboratory, Upton, NY, USA

    David Brown

  5. North Carolina State University, Raleigh, NC, USA

    Carla Fröhlich

  6. Los Alamos National Laboratory, Los Alamos, NM, USA

    Patrick Talou

  7. Lawrence Livermore National Laboratory, Livermore, CA, USA

    Walid Younes

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© 2021 This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply

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Davis, E.D. (2021). Cross Section Correlation Functions and Deviations from the Porter-Thomas Distribution. In: Escher, J., et al. Compound-Nuclear Reactions . Springer Proceedings in Physics, vol 254. Springer, Cham. https://doi.org/10.1007/978-3-030-58082-7_6

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