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

ZHU Pei-Yu; CAO Yu-Fang; WU You-Shi

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

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

Abstract
HTML
Reference
Related

PDF

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.

[1]	LU Li-Jun , ZHANG Jin-Fu . Low-Lying Spectra and Electromagnetic Transition Rates in ^140—162Gd in the Interacting Boson Model. Chinese Physics C, 2006, 30(2): 128-133.
[2]	ZHANG Yu , HOU Zhan-Feng , LIU Yu-Xin . Boson Number Dependence of the Quantities Sensitive to Phase Transition in the Interacting Bosons Model. Chinese Physics C, 2006, 30(S2): 90-93.
[3]	FAN Ti-Gui , LU Li-Jun , ZHANG Jin-Fu . Low-Lying Spectra and Electromagnetic Transition Rates in ^164—182Hf in the Interacting Boson Model. Chinese Physics C, 2004, 28(S1): 119-122.
[4]	LUO Yan-An , PAN Feng , NING Ping-Zhi , Jerry P . SD-Pair Shell Model and Proton-Neutron Interacting Boson Model. Chinese Physics C, 2004, 28(S1): 87-89.
[5]	LU Dao-Ming , PING Jia-Lun . Study of Platinum Isotopes: A Comparison of the Fermion Dynamical Symmetry Model and the Interacting Boson Model. Chinese Physics C, 2004, 28(2): 171-176.
[6]	ZHANG JinFu , PAK JaeYon , LIU FengYing . Low-Lying Spectra and E2 Transition Rates in Even-even Ce Isotopes in the Interacting Boson Model. Chinese Physics C, 2000, 24(11): 1066-1072.
[7]	DENG Wei-Zhen , YANG Ze-Sen , WANG Yu-Cheng . A Non-Hermitian Approach of Dyson Boson Expansion to Interacting Boson Model. Chinese Physics C, 1993, 17(10): 907-911.
[8]	SANG Jian-Ping . s′ Boson and the S-D Truncation in the IBM. Chinese Physics C, 1992, 16(5): 423-430.
[9]	DAI Zi-Gao , FU De-Ji , LIANG Shi-Dong , XU Gong-Ou . The Solution of the Interacting SPD Boson Model with Continuous Variables Representation on Giant Dipole Resonances. Chinese Physics C, 1991, 15(6): 569-576.
[10]	LONG Gui-Lu , SUN Hong-Zhou . GROUP CHAIN CHECK ON THE PROTON-NEUTRON INTERACTING BOSON MODEL COMPUTER CODE NPBOS. Chinese Physics C, 1989, 13(9): 849-855.
[11]	LIU Yong , SANG Jian-Ping . THE MOMENT OF INERTIA IN THE INTERACTING BOSON-FERMION MODEL. Chinese Physics C, 1988, 12(5): 644-651.
[12]	TU Chuan-Shi . REALIZATION OF THE EMBEDDING OF LIESUBAL GEBRA IN THE CASE OF INTERACTING BOSON MODEL. Chinese Physics C, 1987, 11(5): 634-643.
[13]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[14]	DI Yao-Min . F-SPIN BREAKING IN IBM. Chinese Physics C, 1985, 9(4): 461-466.
[15]	LI Xian-Yin , YAO Shi-Huai . A MAPPING BETWEEN THE SU₆ SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THE SU₆ SUBSPACE OF D.JANSSEN ET AL.. Chinese Physics C, 1985, 9(4): 476-482.
[16]	XU Gong-Ou , YANG Ya-Tian , GU Jin-Nan . COMPARISON BETWEEN THE BOHR-MOTTELSON MODEL AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1984, 8(3): 352-360.
[17]	LING YIN-SHENG . THREE LIMITS IN THE INTERACTIONS OF THE s, d, g, BOSONS. Chinese Physics C, 1982, 6(1): 77-90.
[18]	YANG TSE-SEN , LIU YONG , TIAN XIAO-CEN . A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES. Chinese Physics C, 1982, 6(4): 472-479.
[19]	WU RUA-CHUAN . INTERACTING BOSON MODEL FOR ROTATIONAL STATES OF NEGATIVE PARITY. Chinese Physics C, 1982, 6(5): 601-608.
[20]	ZHANG XI-ZHEN , LI CHU-HSIA , . INTERACTING BOSON-FERMION MODEL AND. Chinese Physics C, 1982, 6(3): 347-354.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2443)
PDF Downloads(483)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.