DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL

YANG Ze-Sen(Tse-sen Yang)

Chinese Physics C> 1985, Vol. 9> Issue(3) : 341-348

DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL

YANG Ze-Sen(Tse-sen Yang) ^,

Department of Physics, Peking University

Abstract
HTML
Reference
Related

PDF

Abstract：
Based on the so-called modified Jancovici-Schiff (MJS) substitution the interacting boson model (IBM) is treated as an approximation to the boson description adopted in the intermediate stage of a fermion description of nuclei. A unitary transformation is introduced to determine microscopically the IBM bosons and the IBM Hamiltonian. A general formula is given to transform the IBM state vectors back into the fermion state space.

References

[1]

杨泽森, 杨立铭, 会议文集:Interacting Bose-Fermi Systems in Nuclei, ed: F. Iachdo (Plenum, New York, 1981).[2] 杨泽森, 刘庸, 田晓岑, 高能物理与核物理, 6(1982), 472;Chin. Phys., 3(1983), 345.[3] 刘庸, 田晓岑、杨泽森, 高能物理与核物理, 7(1983), 724.[4] T. Otsuka, A. Arima and F. Iachello, Nucl. Phys., A309(1978), 1.[5] 杨泽森, 高能物理与核物理, 8(1984), 75.[6] D. Janssen, F. Donau, S. Frauendorf and R. V. Jolos, Nucl. Phys., A172(1971), 145.[7] T. Usui, Progr. Theor. Phys., 23(1960), 787.[8] T. Marumori et al., Progr. Theor. Phys. 31(1964), 1009.

[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]	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.
[3]	Zhang Qingying , Fu Liping . Study of Spectra with Boson ConfigurationMixing and Surface Delta Interaction. Chinese Physics C, 1998, 22(3): 260-264.
[4]	Zhao Yumin , Gu Jinnan . Effective Boson Number and Its Application. Chinese Physics C, 1994, 18(1): 68-73.
[5]	Zhang Qingying , Chen Xiaolin , Feng Mang , Que Jianzhong . A study of spectra of nuclei of three bosons. Chinese Physics C, 1994, 18(4): 353-360.
[6]	XU Zai-Xin . Distribution Functions of Vector Boson. Chinese Physics C, 1993, 17(7): 619-625.
[7]	FU Deji , YANG Yatian , WANG Wenge , XU Gongou . Topological Approach to the Study of Dynamical Symmetry Breaking in IBM System. Chinese Physics C, 1993, 17(11): 1032-1039.
[8]	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.
[9]	SANG Jian-Ping . s′ Boson and the S-D Truncation in the IBM. Chinese Physics C, 1992, 16(5): 423-430.
[10]	YANG Ya-Tian , YANG Yi , XU Gong-Ou . BOSON REPRESENTATION OF THE k-LEVEL LIPKIN MODEL. Chinese Physics C, 1987, 11(4): 505-514.
[11]	ZENG Jia-Gang , LIAO Ji-Zhi . INTERACTING BOSON MODEL FOR EVEN-EVEN NUCLEI POSSESSED OF 1⁺AND 3⁺ BANDS IN THE ROTATIONAL RIGION. Chinese Physics C, 1987, 11(3): 409-418.
[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]	DI Yao-Min . F-SPIN BREAKING IN IBM. Chinese Physics C, 1985, 9(4): 461-466.
[14]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ. Chinese Physics C, 1985, 9(2): 154-160.
[15]	YANG Ze-Sen(YANG Tse-Sen) . A MODIFIED JANCOVICI-SCHIFF SUBSTITUTION FOR BOSON DESCRIPTIONS OF NUCLEI. Chinese Physics C, 1984, 8(1): 75-80.
[16]	PENG Hong-An , LEE Jia-Rong , QIU Zhong-Ping . ON THE MAGNETIC MOMENT OF W^± BOSONS IN WEINBERG-SALAM MODEL. Chinese Physics C, 1983, 7(5): 565-574.
[17]	LING YIN-SHENG . THREE LIMITS IN THE INTERACTIONS OF THE s, d, g, BOSONS. Chinese Physics C, 1982, 6(1): 77-90.
[18]	ZHANG XI-ZHEN , LI CHU-HSIA , . INTERACTING BOSON-FERMION MODEL AND. Chinese Physics C, 1982, 6(3): 347-354.
[19]	WU RUA-CHUAN . INTERACTING BOSON MODEL FOR ROTATIONAL STATES OF NEGATIVE PARITY. Chinese Physics C, 1982, 6(5): 601-608.
[20]	YU YOU-WEN . THE INTERACTION OF ANTINUCLEON WITH NUCLEUS. Chinese Physics C, 1979, 3(6): 676-680.

Access

Get Citation

YANG Ze-Sen(Tse-sen Yang). DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL[J]. Chinese Physics C, 1985, 9(3): 341-348.

YANG Ze-Sen(Tse-sen Yang). DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL[J]. Chinese Physics C, 1985, 9(3): 341-348. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2574)
PDF Downloads(472)
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

DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL

YANG Ze-Sen(Tse-sen Yang) ^,

Corresponding author: YANG Ze-Sen(Tse-sen Yang),

Department of Physics, Peking University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-06-05

Abstract: Based on the so-called modified Jancovici-Schiff (MJS) substitution the interacting boson model (IBM) is treated as an approximation to the boson description adopted in the intermediate stage of a fermion description of nuclei. A unitary transformation is introduced to determine microscopically the IBM bosons and the IBM Hamiltonian. A general formula is given to transform the IBM state vectors back into the fermion state space.