1/N Expansion Technique and the Non-SU(3) Intrinsic States of the sdg Interacting Boson Model

WU Hua-Chuan; RONG Zhong-Lin; WANG Zhen

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2024年10月30日

Chinese Physics C> 1991, Vol. 15> Issue(3) : 256-264

1/N Expansion Technique and the Non-SU(3) Intrinsic States of the sdg Interacting Boson Model

Physics Department Suzhou University 215006; and Theorectical Physics Institute,Academia Sinica2 Physics Department Suzhou University 215006

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Abstract：
By utilizing the 1/N expansion technique,the SU(3)-symmetry breaking caused by boson energies is discussed for the sdg Interacting Boson Model,and the analytical expressions of the intrinsic states are given under the approximation in the order of 1/N.It is also shown that the many body theories for a interacting boson system,such as Hartree-Bose method.Tamm-Dancoff approximation and Cranked Hartree approximation,are all special cases of the 1/N expansion technique.

References

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H. C. Wu, Phys. Lett., 110B(1982), 1.Y. Akiyama, Nucl. Phys., A433(1985), 369.[2] I. Morrison, Private Commun.[3] J. Bukelsky et al., Nucl. Phys., A425(1984), 93.S. Pittcl et al., Phys, Lett., B144(1984), 145.[4] a) H. C. Wu et al., Phys. Lett., B187(1985), 205.b) H. C. Wu, A. Bieperink and O. Scholton, Phys. Rev., C38(1988), 1638.[5] S. Kuyucak and I. Morrison, Ann. Phys., 181(1988), 79.[6] T. Otsuka and M. Sugita, Phys. Letts., B215(19881, 205.[7] J. Dukelsky et al., Phys. Lett., B130(1983), 123.[8] H. C. Wu, A. Dieperink and S. Pittel, Phys, Rev., C34(1986), 703.

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WU Hua-Chuan, RONG Zhong-Lin and WANG Zhen. 1/N Expansion Technique and the Non-SU(3) Intrinsic States of the sdg Interacting Boson Model[J]. Chinese Physics C, 1991, 15(3): 256-264.

WU Hua-Chuan, RONG Zhong-Lin and WANG Zhen. 1/N Expansion Technique and the Non-SU(3) Intrinsic States of the sdg Interacting Boson Model[J]. Chinese Physics C, 1991, 15(3): 256-264. shu

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

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

1/N Expansion Technique and the Non-SU(3) Intrinsic States of the sdg Interacting Boson Model

Corresponding author: WU Hua-Chuan,

Physics Department Suzhou University 215006; and Theorectical Physics Institute,Academia Sinica2 Physics Department Suzhou University 215006

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-03-05

Abstract: By utilizing the 1/N expansion technique,the SU(3)-symmetry breaking caused by boson energies is discussed for the sdg Interacting Boson Model,and the analytical expressions of the intrinsic states are given under the approximation in the order of 1/N.It is also shown that the many body theories for a interacting boson system,such as Hartree-Bose method.Tamm-Dancoff approximation and Cranked Hartree approximation,are all special cases of the 1/N expansion technique.