arXiv:0902.0020·v1·Computational Physics
Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients
M. A. Caprio🇺🇸 · D. J. Rowe🇨🇦 · T. A. Welsh🇨🇦
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)xSO(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. With these Clebsch-Gordan coefficients it becomes possible to compute the matrix elements of collective model observables by purely algebraic methods.
Comments: LaTeX (RevTeX), 15 pages; to be published in Computer Phys. Comm.