Dyson Boson Mapping and Shell-Model Calculations for Even-Even Nuclei(Nuclear Physics)
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概要
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In order to truncate a high-dimensional Hilbert space for a many-nucleon shell model to a small collective subspace, we carry out a Dyson-type boson mapping and select a small number of collective bosons. In this way, we can divide the Dyson boson Hamiltonian into collective and non-collective parts; the latter includes the renormalization of the coupling effects between the collective and non-collective degrees of freedom. The boson Hamiltonian thus obtained is written in terms of the selected collective bosons only. Diagonalizing this boson Hamiltonian and comparing the numerical results with those obtained from exact shell-model calculations for some sd- and pf-shell nuclei, we find that our method gives a good approximation of the exact shell model. It is shown that the coupling effect between the collective and non-collective degrees of freedom plays an essential role. This method is also applied to some heavier pfg-shell nuclei for which it is un feasible to carry out exact shell-model calculation because of the very large number of dimensions of the Hilbert space. Our numerical results are in very good agreement with experiment.
- 理論物理学刊行会の論文
- 2006-07-25
著者
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Tazaki Shigeru
Department Of Applied Physics Fukuoka University
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Takada Kenjiro
Department Of Physics Kuushu University
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YASUMOTO Seiichi
International University of Health and Welfare
関連論文
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- Nuclear Deformation and Nuclear Force. II
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