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

  • 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.
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  • [1] 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/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

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.

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