Chinese Physics C > 1992, Vol. 16 > Issue(1): 75-81

Hermitian Boson Expansion Approach of IBM Toward Cross Shell Excitation

DENG Wei-Zhen^,,
YANG Ze-Sen

Institute of High Energy Physics,Beijing 1000391 Department of Physics,Peking University,Beijing 100871

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Abstract：
By the Holstein-Primakoff boson expansion,an hermitian supplementary term with finite form is introduced into the IBM hamiltonian to describe the cross shell excitations.The method of intrinsic condensate is generalized to treat the intruder states.According to this scheme,the low-lying spectra of the Sn isotopes are calculated.Both the vibrational spectra and the additional rotational spectra are obtained.

References

[1]

J. Bron, W. H. A. Hesselink, A. Van Poelgeest, et al., Nucl. Phys., A318 (1979),335.[2] P. D. Duval and B. R. Barren, Phys. Lett., 100B(1981), 223.[3] 潘武明，刘庸和齐辉，高能物理与核物理，14(1990)，49,[4] Yang Zesea, Liu Yong and Qi Hui, Nucl. Phys., A421 (1984), 297c;杨泽森，高能物理与核物理 9(1985)，341,[5] Yang Zesen, Qi Hui, Yiu Yong and Deag Weizhen, International Symposium on Particle and Nuclear Physics, 1985 (Beijing),[6] A. Backlin. N. G. Jonsson, R. Julin, et al., Nucl. Phys., A351(1981), 490.[7] Nuclear Data Sheets, 57(1989), 443; 60(1990), 139; 59(1990), 333; 51(1987), 329.

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DENG Wei-Zhen and YANG Ze-Sen. Hermitian Boson Expansion Approach of IBM Toward Cross Shell Excitation[J]. Chinese Physics C, 1992, 16(1): 75-81.

DENG Wei-Zhen and YANG Ze-Sen. Hermitian Boson Expansion Approach of IBM Toward Cross Shell Excitation[J]. Chinese Physics C, 1992, 16(1): 75-81. 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

Hermitian Boson Expansion Approach of IBM Toward Cross Shell Excitation

DENG Wei-Zhen^,
YANG Ze-Sen

Corresponding author:DENG Wei-Zhen,

Institute of High Energy Physics,Beijing 1000391 Department of Physics,Peking University,Beijing 100871

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1992-01-05

Abstract:By the Holstein-Primakoff boson expansion,an hermitian supplementary term with finite form is introduced into the IBM hamiltonian to describe the cross shell excitations.The method of intrinsic condensate is generalized to treat the intruder states.According to this scheme,the low-lying spectra of the Sn isotopes are calculated.Both the vibrational spectra and the additional rotational spectra are obtained.