OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL

PAN Zheng-Ying; QIU Zhi-Hong; SUN Yue-De

Chinese Physics C> 1984, Vol. 8> Issue(3) : 298-305

OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL

Abstract
HTML
Reference
Related

PDF

Abstract：
The occupation renormalized Hartree-Fock single particle potential is extended to include the 'particle' state occupation. The exac solution of the occupation renormalized Hartree-Fock approximation and that of the Hartree-Fock approximation are calculated in Lipkin Model. It turns out that the RHF solution is more close to the exact one than the HF solution. The effect of occupation probability depends on the strength of the interaction of the two body term.

References

[1]

K. T. R. Davies and N. Baranger, Phys. Rev., C1(1970), 1640.[2] B. H. Brandow, Phys. Rev., 152(1966), 863.[3] R. J. McCarthy,and K. T. R. Davies. Phys. Rev., C1(1970), 1644.[4] D. J. Thouless, The Quantum Mechanics of Many-Body ,Systems. (Academic Press Inc., Nev York 196l), p. 47.[5] H. J. Lipkin, N. Meshkov and A. J. Glick, Nucl. Phys., 62(1965), 188.[6] J. M. Leinazs, T. T. S. Kuo, Phys. Lett., 62B(1976), 275.[7] T. T. S. Kuo and E. 0. Osnes, "Lecture Notes on Many Body Theory of Nuclear Structure, "unpublished (Univ. of Oslo and State" Univ. of New York at Stony Brook, 1976).

[1]	Zheng-Zheng Li , Shi-Yao Chang , Qiang Zhao , Wen-Hui Long , Yi-Fei Niu . Restoration of pseudo-spin symmetry in N = 32 and N = 34 isotonesdescribed by relativistic Hartree-Fock theory. Chinese Physics C, 2019, 43(7): 074107. doi: 10.1088/1674-1137/43/7/074107
[2]	GAN Sheng-Xin , ZUO Wei . Nucleon effective mass in symmetric nuclearmatter from the extended Brueckner-Hartree-Fock approach. Chinese Physics C, 2012, 36(6): 513-518 . doi: 10.1088/1674-1137/36/6/006
[3]	SUN Bao-Yuan , MENG Jie . Neutron star equation of state in density dependent relativistic Hartree-Fock theory. Chinese Physics C, 2009, 33(S1): 73-75. doi: 10.1088/1674-1137/33/S1/024
[4]	WEI Ning , ZHOU Xian-Rong , CHEN Fang-Qi . Properties of Zr hypernuclei in deformed Skyrme Hartree-Fock approach. Chinese Physics C, 2009, 33(S1): 116-118. doi: 10.1088/1674-1137/33/S1/037
[5]	PEI Jun-Cen , XU Fu-Rong . Understanding of Halo Nucleus ¹¹Be with Skyrme-Hartree-Fock. Chinese Physics C, 2004, 28(S1): 72-74.
[6]	Soojae Im , MENG Jie , ZHOU Shan-Gui , YANG Si-Chun , LONG Wen-Hui . Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅰ)Binding Energy and Shell Effects,Radii and Density Distributions. Chinese Physics C, 2001, 25(4): 322-328.
[7]	Soojae Im , MENG Jie , ZHOU Shan-Gui , YANG Si-Chun , LONG Wen-Hui . Skyrme-Hartree-Fock Description of the Nuclear Structure in Ca Isotopes (Ⅱ)Neutron Halo, Skin and Particles in the Classically Forbidden Area. Chinese Physics C, 2001, 25(5): 405-411.
[8]	CHEN Bao-Qiu , MA Zhong-Yu . Investigation of Properties of Exotic Nuclei in Relativistic Hartree-Fock Theory. Chinese Physics C, 2001, 25(4): 309-314.
[9]	Shen Yaosong , Ren Zhongzhou . Skyrme-Hartree-Fock Calculation on Exotic Nuclei. Chinese Physics C, 1997, 21(S2): 53-62.
[10]	Shen Yaosong , Ren Zhongzhou . Skyrme-Hartree-Fock Calculation on Exotic Nuclei. Chinese Physics C, 1997, 21(3): 248-256.
[11]	JING Xiaogong , ZHAO Guoquan , YAO Yujie , YANG Shande , WU Shishu . Study of Multiplicity of Hartree-Fock Solutions. Chinese Physics C, 1993, 17(11): 1026-1031.
[12]	Jing Xiaogong , Zhao Guoquan , Yao Yujie , Yang Shande , Wu Shishu . Study of Multiplicity of Hartree-Fock Solution. Chinese Physics C, 1993, 17(S3): 303-309.
[13]	LIU Liang-Gang . ONE LOOP RENORMALIZATION OF NUCLEON ENERGY DENSITY IN NUCLEAR MATTER BY CHIRAL σ MODEL. Chinese Physics C, 1990, 14(9): 822-828.
[14]	ZHU Chao-Yuan , QIU Xi-Jun . LANDAU PARAMETER GIANT MONOPOLE AND QUADRUPOLE STATES IN THE RELATIVISTIC HARTREE APPROXIMATION. Chinese Physics C, 1990, 14(1): 76-84.
[15]	Yao Yujie , Jing Xiaogong , Zhao Guoquan , Yang Shande , Wu Shishu . Choice of Single Particle Potentials in a Manv-Bodv calcu-lation-Hartree-Fock and Mass Operator Potential. Chinese Physics C, 1990, 14(S1): 83-91.
[16]	LIAO Ji-Zhi . ELECTROMAGNETIC TRANSITIONS OF NUCLEI IN ANGULAR MOMENTUM PROJECTION HARTREE-FOCK METHOD. Chinese Physics C, 1989, 13(9): 837-841.
[17]	YANG Ya-Tian , YANG Yi , XU Gong-Ou . BOSON REPRESENTATION OF THE k-LEVEL LIPKIN MODEL. Chinese Physics C, 1987, 11(4): 505-514.
[18]	LIAO Ji-Zhi . APPROXIMATE ANGULAR MOMENTUM PROJECTION OF THE DEFORMED HARTREE-FOCK STATE FOR K=1. Chinese Physics C, 1987, 11(5): 682-689.
[19]	SHI Xiang-Jun . STUDY ON BINDING PROBLEM OF Δ(1232) IN NUCLEI WITH HARTREE-FOCK METHOD. Chinese Physics C, 1983, 7(1): 76-85.
[20]	SHI Xiang-Jun . THE APPLICATION OF OBEP IN THE HARTREE-FOCK CALCULATION FOR SOME FINITE NUCLEI. Chinese Physics C, 1983, 7(2): 223-228.

Access

Get Citation

PAN Zheng-Ying, QIU Zhi-Hong and SUN Yue-De. OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL[J]. Chinese Physics C, 1984, 8(3): 298-305.

PAN Zheng-Ying, QIU Zhi-Hong and SUN Yue-De. OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL[J]. Chinese Physics C, 1984, 8(3): 298-305. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2533)
PDF Downloads(488)
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

OCCUPATION RENORMALIZED HARTREE-FOCK APPROXIMATION IN LIPKIN MODEL

Corresponding author: PAN Zheng-Ying,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-06-05

Abstract: The occupation renormalized Hartree-Fock single particle potential is extended to include the 'particle' state occupation. The exac solution of the occupation renormalized Hartree-Fock approximation and that of the Hartree-Fock approximation are calculated in Lipkin Model. It turns out that the RHF solution is more close to the exact one than the HF solution. The effect of occupation probability depends on the strength of the interaction of the two body term.