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]	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.
[3]	ZHOU Shan-Gu. Relativistic Mean Field Description of Nuclear Structure. Chinese Physics C, 2004, 28(S1): 21-26.
[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]	Ren Jianglong,Ding Linkai. Calculation of Cross-Section and Distribution of Number of Wounded Nucleons in High Energy Hadron-Nucleus Inelastic Collision. Chinese Physics C, 1996, 20(2): 119-123.
[8]	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.
[9]	Shao Bin. Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[10]	Shao Bin. Boson Realization of the Fermion Dynamical Symmetry Group. Chinese Physics C, 1994, 18(6): 541-546.
[11]	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.
[12]	JIANG Huan-Qing. μ^－CAPTURE IN NUCLEI. Chinese Physics C, 1990, 14(6): 532-536.
[13]	MA Bo-Qiang,SUN Ji. DIFFERENT TREATMENTS OF NUCLEAR BINDING EFFECT IN DEEP INELASTIC LEPTON NUCLEUS SCATTERING. Chinese Physics C, 1988, 12(6): 786-792.
[14]	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.
[15]	LI Xian-Yin,YAO Shi-Huai. A MAPPING BETWEEN THESU₆SUBSPACE IN THE INTERACTING BOSON MODEL OF NUCLEI AND THESU₆SUBSPACE OF D.JANSSEN ET AL.. Chinese Physics C, 1985, 9(4): 476-482.
[16]	YANG Ze-Sen(Tse-sen Yang). DYSON'S BOSON EXPANSION AND THE INTERACTING BOSON MODEL. Chinese Physics C, 1985, 9(3): 341-348.
[17]	YANG Ze-Sen(YANG Tse-Sen). A MODIFIED JANCOVICI-SCHIFF SUBSTITUTION FOR BOSON DESCRIPTIONS OF NUCLEI. Chinese Physics C, 1984, 8(1): 75-80.
[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(3260)
PDF Downloads(377)
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

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.