Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients
Computational Physics
2009-06-19 v1 Nuclear Theory
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.
Keywords
Cite
@article{arxiv.0902.0020,
title = {Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients},
author = {M. A. Caprio and D. J. Rowe and T. A. Welsh},
journal= {arXiv preprint arXiv:0902.0020},
year = {2009}
}
Comments
LaTeX (RevTeX), 15 pages; to be published in Computer Phys. Comm.