Abstract

In the R-matrix theory of nuclear reactions, properly normalized observables can be expanded in terms of rotation matrices or Legendre functions. The corresponding expansion coefficients are then bilinear functions of the reaction matrix elements in the (1,s,J) coupling scheme. The numerical factor for each bilinear combination of matrix elements in a given coefficient is a function involving Clebsch-- Gordan, Racah, and X coefficients. By obtaining numerical values for the angular momentum functions and taking into account all relevant symmetries, the program FATSO computes the explicit formulas for any observable quantity for a given set of (1,s,J)-matrix elements. A set of 40 matrix elements can be accommodated, with up to 20 expansion coefficients. Approximate running time for cross sections involving vector- and tensorpolarized deuteron beams for a set of 20 matrix elements is 2 minutes. The program, in FORTRAN IV for the UNIVAC 1108 and the operating system EXEC 8, requires 44030 36- bit words of computer memory. (RWR)

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