Abstract

Two-channel moments of amplitudes are calculated for a model in which the compound-nuclear wave function consists of the sum of two vectors each randomly oriented on the surface of its own hypersphere. The relative variances of partial radiation widths and of reduced neutron widths are calculated. Expressions are found for the correlation coefficient of reduced neutron widths and partial radiation widths, and for the correlation coefficient of partial radiation widths to pairs of bound states. It is found that the relative variance value 2 for reduced neutron widths, as well as recent experimental findings for the statistics of partial widths, can be incorporated in the present two-group model if one of the groups is composed of a vector space of a large number of dimensions.

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