Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients

Details Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients

2009-01-30

arxiv.org/abs/0902.0020v1

Comput.Phys.Commun.180:1150-1163,2009

Physics

Computational Physics

LaTeX (RevTeX), 15 pages; to be published in Computer Phys. Comm.

Scientific paper

10.1016/j.cpc.2008.12.039

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.

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