# Construction of SO ( 5 ) ⊃ SO ( 3 ) spherical harmonics and Clebsch–Gordan coefficients

## Description

Abstract The SO (5) ⊃ SO (3) spherical harmonics form a natural basis for expansion of nuclear collective model angular wave functions. They underlie the recently-proposed algebraic method for diagonalization of the nuclear collective model Hamiltonian in an SU (1, 1) × SO (5) basis. We present a computer code for explicit construction of the SO (5) ⊃ SO (3) spherical harmonics and use them to compute the Clebsch-Gordan coefficients needed for collective model calculations in an SO (3)-coupled basis. ... Title of program: GammaHarmonic Catalogue Id: AECY_v1_0 Nature of problem Explicit construction of SO(5) ⊃ SO(3) spherical harmonics on S 4 . Evaluation of SO(3)-reduced matrix elements and SO(5) ⊃ SO(3) Clebsch-Gordan coefficients (isoscalar factors). Versions of this program held in the CPC repository in Mendeley Data AECY_v1_0; GammaHarmonic; 10.1016/j.cpc.2008.12.039 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)