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Tests of the reduced width amplitude distribution with proton resonance data

  • Nuclear Structure and Spectroscopy
  • Published:
Zeitschrift für Physik A Atomic Nuclei

Abstract

The assumption that the distribution of reduced partial-width amplitudes is multivariate Gaussian is tested by separate measurement of width and amplitude correlations. Two approaches to the analysis are employed:1) analyzing the data sets separately and then averaging the results;2) combining the data sets and then performing the analysis. Although the latter procedure provides a nuclear width ensemble (1117 widths), several tests suggest that it is preferable to analyze the individual data sets and then average the results. When the data are transformed to a representation in which the amplitude correlation is zero, the average width correlation for 21 data sets is ¯r w =−0.01+0.03, consistent with the Gaussian assumption.

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Authors and Affiliations

  1. Tennessee Technological University, Cookeville, TN, USA

    J. F. Shriner Jr.

  2. Duke University, Durham, NC, USA

    E. G. Bilpuch

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

    G. E. Mitchell

  4. Triangle Universities Nuclear Laboratory, Durham, NC, USA

    E. G. Bilpuch

  5. Triangle Universities Nuclear Laboratory, Durham, NC, USA

    G. E. Mitchell

Authors
  1. J. F. Shriner Jr.
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  2. E. G. Bilpuch
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  3. G. E. Mitchell
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Additional information

Work supported by the U.S. Department of Energy, Office of High Energy and Nuclear Physics, under Contracts No. DE-AC05-76ER01067, DE-FG05-87ER40353, and DE-FG05-88ER40441

The authors would like to thank A. Pandey for his suggestion that the data be transformed to the zero representation and H.A. Weidenmüller and H.L. Harney for valuable discussions.

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Shriner, J.F., Bilpuch, E.G. & Mitchell, G.E. Tests of the reduced width amplitude distribution with proton resonance data. Z. Physik A - Atomic Nuclei 332, 45–50 (1989). https://doi.org/10.1007/BF01292579

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  • DOI: https://doi.org/10.1007/BF01292579

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