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

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

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]	YE Wei . Possible Dependence of Dissipation Strength on Angular Momentum. Chinese Physics C, 2006, 30(8): 759-760.
[2]	LIU Chang-Long , LU Yi-Ying , YIN LI . Effects of Additional Vacancy-Like Defects Produced by Ion Impealations on Boron Thermal Diffusion in Silicon. Chinese Physics C, 2005, 29(11): 1107-1111.
[3]	SHEN Shui-Fa , YU Xiao-Han . Decay of ⁸³Sr and Discussion of Its Daughter's Band Structures. Chinese Physics C, 2004, 28(S1): 78-80.
[4]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[5]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[6]	Li Yangguo . Antiproton -Nucleus Charge Exchange Reaction and Inelastic Scattering. Chinese Physics C, 1996, 20(11): 1021-1027.
[7]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Process e⁺e^－→τ⁺τ^－,τ^－→a₁υτ,a₁→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(7): 583-590.
[8]	SANG Jian-Ping , LIU Chao-Shan , LIU Yong . Relation Between the Gap at Z=64 Subshell and the Abrupt Transition in the Region N=88～90. Chinese Physics C, 1991, 15(2): 150-157.
[9]	HOU Ren-Chang , ZHAO Xuan . QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.
[10]	Sa Ben-hao , Zhang Xi-zhen , Li Zhu-xia , Shi Yi-jin . A PRIMARY RESEARCH OF THE PHONON RENORMALIZATION OF NUCLEAR FIELD THEORY. Chinese Physics C, 1980, 4(3): 398-400.
[11]	WU SHI-SHU . ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL U_αβ=M_αβ（ε_β）. Chinese Physics C, 1979, 3(4): 469-483.

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(2568)
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, 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.