Chinese Physics C > 1985, Vol. 9 > Issue(2): 154-160

THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ

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Abstract：
The spin (6) limit of Interacting Boson-Fermion Model Ⅱ is further discussed on the basis of the representation theory of Lie group. We generalize the Young-tableau methods for Kronecker products of group representations and discuss in detail spinor symmetry of the IBFM Ⅱ characterized by the group chain
U_π ^(B)(6)× U_v ^(B)(6)× U ^(F)(4) SO _π^(B)(6)×SO_v^(B)(6)×SU^(F)(4)SO_π+v^(B)(6)×SU^(F)(4)Spin(5)Spin(3)
We derive the reduction formulas in this group chain from our generalized Young-tableau methods. The wave functions of IBFM Ⅱ are elassified by this group chain. Some energy spectra are also calculated.

References

[1]	Iachello. F. and Kuyucak. S., Annals of Physics,136 (1981), 19.[2] Fischler. M., J. Math Phys, 22(1981), 637.[3] 张玖、陈学俊、孙洪洲、韩其智, 中国科学A辑, 1982.8713.

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ZHU Pei-Yu, CAO Yu-Fang and WU You-Shi. THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ[J]. Chinese Physics C, 1985, 9(2): 154-160.

ZHU Pei-Yu, CAO Yu-Fang and WU You-Shi. THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ[J]. Chinese Physics C, 1985, 9(2): 154-160. 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

THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ

Corresponding author:ZHU Pei-Yu,

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1985-04-05

Abstract:The spin (6) limit of Interacting Boson-Fermion Model Ⅱ is further discussed on the basis of the representation theory of Lie group. We generalize the Young-tableau methods for Kronecker products of group representations and discuss in detail spinor symmetry of the IBFM Ⅱ characterized by the group chain
U_π^(B)(6)×U_v^(B)(6)×U^(F)(4)SO_π^(B)(6)×SO_v^(B)(6)×SU^(F)(4)SO_π+v^(B)(6)×SU^(F)(4)Spin(5)Spin(3)
We derive the reduction formulas in this group chain from our generalized Young-tableau methods. The wave functions of IBFM Ⅱ are elassified by this group chain. Some energy spectra are also calculated.