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

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Zeitschrift für Physik A Hadrons and Nuclei

Abstract

The Fourier transform of the autocorrelation function is an alternative test to characterize level statistics. For GOE statistics there is a suppression of the Fourier transform near the origin; this correlation hole is absent for Poisson statistics. Numerical modeling has been used to quantify the method and determine the dependence of the correlation-hole area on number, density, sampling interval, and fraction of missing or spurious levels. For largeN the normalized correlation-hole area is a nearly universal constant and insensitive to missing and spurious levels. However, for the smaller sample sizes typical of nuclear data, application of the FT method yields ambiguous results.

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Author notes

  1. C. R. Bybee

    Present address: Lindsey Wilson College, Columbia, KY

Authors and Affiliations

  1. North Carolina State University, 27695-8202, Raleigh, North Carolina, USA

    C. R. Bybee & G. E. Mitchell

  2. Triangle Universities Nuclear Laboratory, 27708-0308, Durham, North Carolina, USA

    C. R. Bybee

  3. Tennessee Technological University, 38505, Cookeville, Tennessee, USA

    J. F. Shriner

Authors
  1. C. R. Bybee
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  2. G. E. Mitchell
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  3. J. F. Shriner
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Additional information

Communicated by D. Schwalm

This work was supported in part by the U.S. Department of Energy, Office of High Energy and Nuclear Physics, under grants No. DE-FG05-87-ER40353 and DE-FG05-88-ER40441.

This paper was written one of us (G. E. M.) was a guest at the Max Planck Institut für Kernphysik, Heidelberg.

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Bybee, C.R., Mitchell, G.E. & Shriner, J.F. The Fourier transform as a signature for chaos in nuclear energy levels. Z. Physik A — Hadrons and Nuclei 355, 327–333 (1996). https://doi.org/10.1007/BF02769701

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  • DOI: https://doi.org/10.1007/BF02769701

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