Construction of SO(5)>SO(3) spherical harmonics and Clebsch-Gordan coefficients
| Autor: | Caprio, M. A., Rowe, D. J., Welsh, T. A. |
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| Rok vydání: | 2009 |
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| Zdroj: | Comput.Phys.Commun.180:1150-1163,2009 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.cpc.2008.12.039 |
| Popis: | 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. Comment: LaTeX (RevTeX), 15 pages; to be published in Computer Phys. Comm. |
| Databáze: | arXiv |
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