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arXiv · 0902.0020

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

M. A. Caprio·D. J. Rowe·T. A. Welsh
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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.

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M. A. Caprio, D. J. Rowe, T. A. Welsh. 2009-01-30. Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients. https://doi.org/10.1016/j.cpc.2008.12.039

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