| Solution to the eigenstates of pairing Hamiltonian in finite nuclei |
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| 作者姓名： | 余意 郭建友 |
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| 作者单位： | School of Physics and Material Science, Anhui University, Hefei 230039, Chin |
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| 摘 要： | We apply the algebraic Bethe technique to the nuclear pairing problem with certain limits. We obtain the exact energies and eigenstates, and find the symmetry between the states corresponding to less and more than half full shell. We also proved that the problem of solving BAE can be transformed into the problem of finding the roots of a hypergeometric polynomial, which is much
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| 关 键 词： | shell model pairing BAE hypergeometric polynomial Hamiltonian |
| 收稿时间： | 2008-10-23 |
Solution to the eigenstates of pairing Hamiltonian in finite nuclei |
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| Institution: | School of Physics and Material Science;Anhui University;Hefei 230039;Chin |
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| Abstract: | We apply the algebraic Bethe technique to the nuclear pairing problem with certain limits. We obtain the exact energies and eigenstates, and find the symmetry between the states corresponding to less and more than half full shell. We also proved that the problem of solving BAE can be transformed into the problem of finding the roots of a hypergeometric polynomial, which is much simpler. |
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| Keywords: | shell model pairing BAE hypergeometric polynomial Hamiltonian |
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