Critical analysis of statistical methods used to detect resonances in nuclear reactions

L. C. Dennis, S. T. Thornton, and K. R. Cordell
Phys. Rev. C 19, 777 – Published 1 March 1979
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Abstract

The effectiveness of several existing statistical tests in locating resonances in compound nuclear reactions above the Coulomb barrier is examined, and a new test based on the number of maxima at any single bombarding energy in a set of excitation functions is introduced. It was found that only the three tests based on the deviation functions, summed cross sections, and the distribution of maxima were suitable for the detection of resonances, and that the latter test was the most sensitive. The various tests were used to analyze C12(C12,α)Ne20, C12(N14,α)Na22, and C12(N15,α)Na23 excitation functions. Evidence for nonstatistical structure was found in all three reactions by examining the distribution of maxima.

NUCLEAR REACTIONS C12(C12,α)Ne20, Ec.m.=18.025.5 MeV; C12(N14,α)Na22, Ec.m.=10.218.1 MeV; C12(N15,α)Na23, Ec.m.=9.517.3 MeV. Statistical model predictions. Statistical tests examined. Nonstatistical structure observed.

  • Received 23 January 1978

DOI:https://doi.org/10.1103/PhysRevC.19.777

©1979 American Physical Society

Authors & Affiliations

L. C. Dennis, S. T. Thornton, and K. R. Cordell

  • Department of Physics, University of Virginia, Charlottesville, Virginia 22901

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Issue

Vol. 19, Iss. 3 — March 1979

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