Tables of coefficients for angular correlations of radiative transitions from aligned nuclei

Abstract

Basic formulas and tabulations of numerical coefficients are provided for the analysis of data on angular correlations of successive radiative transitions from aligned nuclei. The formulas are extracted from an earlier published development of the angular-correlation formalism. This development is based upon a factored version of the equations which is used to extend the application from the usual two-step cascade to general multiple-step cascades. The resulting flexibility and greater efficiency of the formalism are utilized to provide an extensive tabulation of coefficients for a variety of specific applications. Coefficients are provided for analysis in terms of either the population parameters or the statistical tensors of the aligned state. The coefficients can be used for the analysis of angular distributions, linear polarizations, and triple correlations involving one or more intermediate unobserved radiations. In contrast to previous tabulations of coeeficients for angular-correlation analysis, the range of the present tables has been extended to include multipolarities through octupole. The overall length of the tables, however, remains about the same as previous tables because of the greater efficiency of the factored formalism. The range of spins covered by the tables are J ≤ 11/2 for the initial aligned stae and J ≤ 21/2 for the final state of cascade.