Two-Level R-Matrix Theories and Calculations

G. D. Westin and J. L. Adams
Phys. Rev. C 8, 1 – Published 1 July 1973
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Abstract

The situation of two closely spaced resonance levels of the same spin and parity in a single channel is investigated. The conventional R-matrix theory is compared to a generalized R-matrix theory which allows for different boundary conditions for each level. The two 32+ resonances near 3 MeV in the C12(n,n)C12 reaction and the 12+ resonance dip at 2.4 MeV in the O16(n,n)O16 reaction are investigated. With no background term R0 equivalent fits to the data can be found using a wide range of boundary conditions and corresponding reduced widths. This shows that there are ambiguities in the reduced widths of levels, depending on the values of other parameters used in fitting the levels. The conventional R-matrix theory fits the data well and allows for inclusion of distant levels through an R0 term. The inclusion of an R0 term for unequal boundary conditions introduces new parameters and becomes quite complicated. Thus, we conclude that the conventional R-matrix theory is not only adequate to fit closely spaced resonances of the same spin and parity, but it is preferred.

  • Received 17 August 1972

DOI:https://doi.org/10.1103/PhysRevC.8.1

©1973 American Physical Society

Authors & Affiliations

G. D. Westin and J. L. Adams

  • Department of Physics, Ohio University, Athens, Ohio 45701

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Issue

Vol. 8, Iss. 1 — July 1973

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