A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM

YANG ZE-SEN; ZHONG YU-SHU; QI HUI; YANG LI-MING

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1978, Vol. 2> Issue(2) : 158-167

A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM

Abstract
HTML
Reference
Related

PDF

Abstract：
A new formalism of the nuclear many-body problem is established in which one ean work with various physical state vector spaces consisting of both Fermions and Bosons, all being equivalent to the original one consisting only of Fermions.With the help of the usual commutation relations and anticommutation relations between the annihilation and creation operators of Boson and Fermion, a generalized state vector space is established, which contains all the physical spaces each being equivalent to the original physical space in terms of pure Fermion operators. Transformation between the state vectors in various equivalent physical spaces are constructed. Basic operators in the original state space are transformed into effective operators in the new physical spaces.

References

[1]

B. R. Mottelson, Proc. Conf. On Nuclear Structure, ToKyo (1967); B. R. Mottelson, Nikko Summer School Lectures (1967), Nordita publication No. 288.[2] A. Bohr and B. R. Mottelaon, Nuclear Structure, Vol. 2, ch. 6; D. R. Bes and R. A. Broglia, Proc. Topical Conf. On Problem of Vibrational Nuclei (1975). 1.[3] D. R. Bes and B. R. Mottelson et al, Phys. Lett., 52B(1974), 253.[4] E. R. Marshalek, Phys. Lett., 44B(1973), 5; E. R. Marshalek, Nucl, Phys., A224(1974), 221; E. R. Marshalek, Nucl, Phys., A224(1974), 245.[5] S. T. Beliaev and V. G. Zelevinsky, Nucl. Phys., 39(1962), 582.[6] T. Usui, Progr. Theor. Phys., 23(1960), 787.[7] T. Marumori et al., Progr. Theor. Phys. (Kyoto) 31(1964), 1009.

[1]	SUN Bao-Xi , LV Xiao-Fu , SHEN Peng-Nian , ZHAO En-Guang . An Effective Formulation to Solve Nuclear Many-Body Problems. Chinese Physics C, 2007, 31(10): 913-921.
[2]	ZHOU Shan-Gu . Relativistic Mean Field Description of Nuclear Structure. Chinese Physics C, 2004, 28(S1): 21-26.
[3]	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.
[4]	Zhang Qingying , Fu Liping . Study of Spectra with Boson ConfigurationMixing and Surface Delta Interaction. Chinese Physics C, 1998, 22(3): 260-264.
[5]	Luo Wendong , Li Xunjun . Descriptions for Nuclear System with Only One Geometrical Symmetry Plane. Chinese Physics C, 1998, 22(10): 915-919.
[6]	Wang Baolin . Analytical Description of Triaxial Deformation in O(6)-Like Nuclei. Chinese Physics C, 1997, 21(8): 745-750.
[7]	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.
[8]	Shao Bin . Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[9]	Shao Bin . Boson Realization of the Fermion Dynamical Symmetry Group. Chinese Physics C, 1994, 18(6): 541-546.
[10]	CHEN Jun-Feng , HE Ze-Jun . THE CHARACTERISTIC DILEPTON MASS DISTRIBUTION FROM HOT QUARK MATTER IN ULTRARELATIVISTIC NUCLEUS-NUCLEUS COLLISIONS. Chinese Physics C, 1990, 14(4): 359-365.
[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]	PENG Tie-Liang , LI Zi-Bang , PENG Hong-An . THE INFLUENCE OF EMC EFFECT ON LEPTON PAIR PRODUCTION OF HIGH ENERGY HADRON-NUCLEI COLLISION. Chinese Physics C, 1986, 10(4): 438-445.
[13]	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.
[14]	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.
[15]	YANG Ze-Sen(Tse-sen Yang) . DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[16]	YANG Ze-Sen(YANG Tse-Sen) . A MODIFIED JANCOVICI-SCHIFF SUBSTITUTION FOR BOSON DESCRIPTIONS OF NUCLEI. Chinese Physics C, 1984, 8(1): 75-80.
[17]	ZHANG XI-ZHEN , LI CHU-HSIA , . INTERACTING BOSON-FERMION MODEL AND. Chinese Physics C, 1982, 6(3): 347-354.
[18]	ZHUO YI-ZHONG , SA BEN-HAO . QCD PERTURBATION THEORY AND NUCLEI (1) THE ENERGY SHIFTS OF HADRENS AND HADRONS MASS DIFFERENCE MASS DIFFERENCE. Chinese Physics C, 1982, 6(1): 69-76.
[19]	SUN HONG-ZHOU , HAN QI-ZHI . THE CLASSIFICATION OF THE WAVE FUNCTIONS OF BOSONS AND FERMIONS. Chinese Physics C, 1982, 6(3): 317-322.
[20]	Sun Hong-zhou . ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS. Chinese Physics C, 1980, 4(4): 478-492.

Access

Get Citation

YANG ZE-SEN, ZHONG YU-SHU, QI HUI and YANG LI-MING. A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM[J]. Chinese Physics C, 1978, 2(2): 158-167.

YANG ZE-SEN, ZHONG YU-SHU, QI HUI and YANG LI-MING. A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM[J]. Chinese Physics C, 1978, 2(2): 158-167. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1977-09-21
Revised: 1900-01-01

Article Metric

Article Views(1914)
PDF Downloads(376)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

A BOSON-FERMION DESCIPTION OF THE NUCLEAR MANY-BODY PROBLEM

Received Date: 1977-09-21
Accepted Date: 1900-01-01
Available Online: 1978-04-05

Abstract: A new formalism of the nuclear many-body problem is established in which one ean work with various physical state vector spaces consisting of both Fermions and Bosons, all being equivalent to the original one consisting only of Fermions.With the help of the usual commutation relations and anticommutation relations between the annihilation and creation operators of Boson and Fermion, a generalized state vector space is established, which contains all the physical spaces each being equivalent to the original physical space in terms of pure Fermion operators. Transformation between the state vectors in various equivalent physical spaces are constructed. Basic operators in the original state space are transformed into effective operators in the new physical spaces.