Abstract
The situation of two closely spaced resonance levels of the same spin and parity in a single channel is investigated. The conventional -matrix theory is compared to a generalized -matrix theory which allows for different boundary conditions for each level. The two resonances near 3 MeV in the reaction and the resonance dip at 2.4 MeV in the reaction are investigated. With no background term 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 -matrix theory fits the data well and allows for inclusion of distant levels through an term. The inclusion of an term for unequal boundary conditions introduces new parameters and becomes quite complicated. Thus, we conclude that the conventional -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