Abstract
Abstract The behaviour of the phase shifts as a function of momentum when reaction channels are present may be reduced to the case of elastic scattering with no reactions. This is done by subtracting a quantity which may be calculated from a detailed knowledge of total reaction cross sections. Using this analysis, it is found that the essential parameters of the subtracted phase shift represent complex values of the momentum for which the compound system would be perfectly black. A two-channel model, having a number of true resonances, is solved explicitly, and the phase shifts of the uncoupled problem are compared to the results obtained in the coupled problem when the anomalies are subtracted, for appropriate values of the coupling parameter and channel threshold. The model allows estimates to be made of the possible errors introduced, in a practical situation, by an incomplete knowledge of the reaction cross sections.
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