A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model

DENG Wei-Zhen; YANG Ze-Sen; WANG Yu-Cheng

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(10) : 907-911

A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model

Peking University,100871

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Abstract：
Through boson expansion and the modified Jancovici-Schiff substitution a 1-to-1 corre-spondence between fermion collective pair space and the interacting boson space is obtained.The boson mappings of fermion operators are uniquely determined and the IBM Hamiltonian takes a non-Hermitian form.The calculation of fermion matrix elements and spurious problem are also discussed.

References

[1]

C. T. Li,Phys. Lett. ,120B(1983),251.T. S. Yang, Y. Lin H. Qi,Nucl. Phys. ,A421(1984),297c.[2]D. Janssen, F. DonaU, S. Frauendorf, R. V. Jolos,Nucl. Phys. ,A172(1971),145.[3]K. Takada,Nucl. Phys. ,A439(1985),489.[4]T. S, Yang. A. Arima,H. Qi,T. Otsuka, X. H. Li,"Modified Dyson mapping and a generalized O-A-I method for non-degenerate j shells",Preprint.[5]H. B. Geyer,F. J. W. Hahne,Nucl. Phys,A363(1981),45.[6]杨泽森，高能物理与核物理，8(1984).75.

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DENG Wei-Zhen, YANG Ze-Sen and WANG Yu-Cheng. A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model[J]. Chinese Physics C, 1993, 17(10): 907-911.

DENG Wei-Zhen, YANG Ze-Sen and WANG Yu-Cheng. A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model[J]. Chinese Physics C, 1993, 17(10): 907-911. shu

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model

Corresponding author: DENG Wei-Zhen,

Peking University,100871

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-10-05

Abstract: Through boson expansion and the modified Jancovici-Schiff substitution a 1-to-1 corre-spondence between fermion collective pair space and the interacting boson space is obtained.The boson mappings of fermion operators are uniquely determined and the IBM Hamiltonian takes a non-Hermitian form.The calculation of fermion matrix elements and spurious problem are also discussed.