# A Macsyma program for computing analytic Clebsch–Gordan coefficients of U(3)⊃SO(3)

## Description

Abstract Part 1 of the program generates the reduced matrix elements of the spherical tensor operator Q from which the matrix elements of all U(3) generators can be obtained. Part 2 computes the isoscalar factors for the coupling of two U(3) irreps. The basis used is symmetry adapted to SO(3)⊃SO(2) , as is desired for describing collective nuclear motion. The output of the matrix elements as well as the isosc... Title of program: exactU3clebsch Catalogue Id: ADOL_v1_0 Nature of problem Elliott's nuclear SU(3) model [1,2] describes collective nuclear motion by considering the leading SU(3) irrep within the totally antisymmetric tensor product space of the valence nucleons. A rotational spectrum is expected, hence the basis for the irrep space should be symmetry adapted to the rotation group SO(3). The reduced matrix elements of the spherical tensor operator Q are needed to compute the electromagnetic transition rates. When coupling two SU(3) contained in SO(3) irreps to good SU ... Versions of this program held in the CPC repository in Mendeley Data ADOL_v1_0; exactU3clebsch; 10.1016/S0010-4655(01)00205-3 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)