THE SOLUTIONS FOR j<SUP>3</SUP> SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD

FU De-Ji; XIA Ke-Ding; PAN Wei-Ping

Chinese Physics C> 1984, Vol. 8> Issue(5) : 602-610

THE SOLUTIONS FOR j³ SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD

Abstract
HTML
Reference
Related

PDF

Abstract：
The solutions for the problem of 3 particles moving in a single-j shell are given from the shell model and the generator coordiuate method (GCM) respectively. After taking all possible contractions of fermions as well as bosons, GCM can produce the same exact solution as the shell model. So it is quite reasonable to expect that GCM is an effective theory in treating coupling between boson and fermion degrees of freedom in nuclei microscopically.

References

[1]

徐躬耦, 中国科学, 1974, 6: 567, [2] 徐躬耦, 杨亚天, 王顺金, 中国科学, 1981,4:428.[3] Xu Gong-ou and Wang Shun-jin, Nucl. Phys., A380 (1982), 529.[4] Broglia, R. A. et al., Nucl. Phys., A348 (1980), 237.[5] Vitturi, A. Interacting Bose-Fermi System in Nuclei; Proc. of the Seminar. Erice, Sicily, June 12-19, 1980.[6] A de-shalit and I. Talmi, Nuclear Shell Theory; Academic, New York, 1963, P. 270.[7] Fu Deji, Xia Keding, Nuclear Physics A (in Press).

[1]	Xin Wu , Qi Chen , Ye Xing , Zhi-Peng Xing , Ruilin Zhu . SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[2]	ZHANG Cong , HE Yuan , ZHAO Hong-Wei , ZHANG Sheng-Hu . Multipacting simulation and analysis of a taper quarter wave cavity by using Analyst-PT3P. Chinese Physics C, 2012, 36(4): 362-366. doi: 10.1088/1674-1137/36/4/012
[3]	GUO Yun-Jun , HE Kang-Lin . Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C, 2007, 31(11): 1050-1055.
[4]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[5]	PENG Quan-Ling , SUN Jian , ZHAO Guang-Yuan , SHI Cai-Tu . Principle and Software Design of Helmhotz Coil Measurement System. Chinese Physics C, 2001, 25(9): 920-925.
[6]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[7]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[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]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[10]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.
[11]	WANG Man , LI Jin , CUI Xiang-Zong , XIA Xiao-Mi , LAI Yuan-Fen , YAO Xiao-Guang . PROTOTYPE OF END CAP SHOWER COUNTERAND ITS BEAM TEST. Chinese Physics C, 1987, 11(3): 321-326.

Access

Get Citation

FU De-Ji, XIA Ke-Ding and PAN Wei-Ping. THE SOLUTIONS FOR j³ SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD[J]. Chinese Physics C, 1984, 8(5): 602-610.

FU De-Ji, XIA Ke-Ding and PAN Wei-Ping. THE SOLUTIONS FOR j³ SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD[J]. Chinese Physics C, 1984, 8(5): 602-610. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3087)
PDF Downloads(398)
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

THE SOLUTIONS FOR j³ SYSTEM FROM SHELL MODEL AND GENERATOR COORDINATE METHOD

Corresponding author: FU De-Ji,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1984-10-05

Abstract: The solutions for the problem of 3 particles moving in a single-j shell are given from the shell model and the generator coordiuate method (GCM) respectively. After taking all possible contractions of fermions as well as bosons, GCM can produce the same exact solution as the shell model. So it is quite reasonable to expect that GCM is an effective theory in treating coupling between boson and fermion degrees of freedom in nuclei microscopically.