Convergence of Boson Expansion Theory : Nuclear Physics

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概要

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• When the Holstein-Primakoff (Hermitan)-type boson expansion theory is applied for nuclear structure calculations, truncation at the fourth-order expansion of boson Hamiltonian is often used. The Dyson-type boson mapping has no difficulty concerning boson expansion, since the Dyson boson Hamiltonian is written in up to sixth-order boson operators, and we do not have to make any truncation of the boson expansion. In the present work, we propose a new clear-cut method to obtain the normal-ordered Holstein-Primakoff boson expansion. Using this method, we test whether or not the truncation of the boson expansion is good approximation in various cases. we show that truncation at the fourth-order expansion of the normal-ordered Holstein-Primakoff boson Hamiltonian is a rather good approximation, but it is not sufficient for detailed analyses.

• 理論物理学刊行会の論文
• 1998-09-25

著者

• Takada Kenjiro

  Department Of Physics Kuushu University

• TAKADA Kenjiro

  Department of Physics,Kyushu University

• Sato Motomu

  Department of Physics,Kyushu University

• SATO Motom

  Department of Physics,Kyushu University

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