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

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

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> 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]	YU You-Wen , ZHANG Zong-Ye , LI Qiang-Bing . ΩN Bound State in SU(3) Quark Model. Chinese Physics C, 2002, 26(10): 1041-1045.
[2]	YUE RuiHong , FAN Heng , CAO JunPeng . Coordinate Bethe Ansatz for Generalized t-J Model. Chinese Physics C, 2000, 24(3): 203-207.
[3]	Yang Changgen , Chen Hesheng , Jin Bingnian , Tang Xiaowei . Fitting Method and Error Study for Tau Lifetime Measurements of L3 Experiment. Chinese Physics C, 1994, 18(9): 794-799.
[4]	LI Shiqing , XU Dingan , LIU Fuqing . Study of 3-α Cluster Ground State Using CHHE-MRT Method. Chinese Physics C, 1993, 17(12): 1116-1119.
[5]	PENG Jian-Ping , WU Chong-Shi , ZENG Jin-Yan . ON THE VALIDITY OF THE CHFB METHOD FOR TREATING THE CSM HAMILTONIAN. Chinese Physics C, 1989, 13(4): 362-369.
[6]	SONG Xiao-Tong , DAI You-Shan . THE COULOMB DISINTEGRATION CROSS-SECTION AND DECAY RATE OF THE SPIN (0－3/2) ELECTROMAGNETIC BOUND SYSTEM. Chinese Physics C, 1987, 11(1): 24-31.
[7]	XU Gong-Ou , WANG Shun-Jin , YANG Ya-Tian , LI Fu-Li . THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅷ) THE CHOICE AND REPRESENTATION OF COLLECTIVE DEGREES OF FREEDOM. Chinese Physics C, 1987, 11(3): 384-391.
[8]	FU De-Ji , PAN Wei-Ping . THE APPLICATION OF GCM TO NUCLEAR QUADRUPOLE EXCITATION AND ITS RELATION TO IBM. Chinese Physics C, 1987, 11(4): 522-532.
[9]	WU Guang-Han , YANG Dai-Lun , YANG Shi-Jun . STUDY OF ANTISYMMETRIZATION EFFECTS USING GENERATING COORDINALE METHOD. Chinese Physics C, 1986, 10(3): 367-370.
[10]	DAI You-Shan , SONG Xiao-Tong . THE BETHE-SALPETER EQUATION FOR SPIN (0—3/2) ELECTROMAGNETIC BOUND SYSTEM AND ITS APPROXIMATE SOLUTION. Chinese Physics C, 1986, 10(5): 527-535.
[11]	CHEN Shi-Hao . ELECTRO-WEAK UNIFIED THEORY——A MODEL IN SU(3)×U(1). Chinese Physics C, 1985, 9(6): 679-686.
[12]	XU Gong-Ou . THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅶ) THE PRESERVATION OF SYMMETRY PRORERTIES. Chinese Physics C, 1984, 8(2): 207-214.
[13]	FANG Bao , XIA Ke-Ding , FU De-Ji , XU Gong-Ou . THE STUDY OF QUADRUPOLE MOMENT, OCTUPOLE TRANSITION AND TRANSITION DENSITY OF ²⁰⁸Pb 3^－STATE—— THE APPLICATION OF GENERATOR COORDINATE METHOD (GCM). Chinese Physics C, 1984, 8(4): 461-469.
[14]	LIU YONG , TIAN XIAO-CEN , YANG TSE-SEN . A MICROSCOPIC CALCULATION OF THE COLLECTIVE SPECTRA OF THE NEUTRON CONFIGURATIONS (CLOSED SHELLS)⁵⁰ (d_5/2g_7/2s_1/2d_3/2h_1/2)¹² BASED ON DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL. Chinese Physics C, 1983, 7(6): 724-734.
[15]	XU Gong-Ou . GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS—Ⅵ ON THE PROBLEM OF OVERCOMPLETENESS. Chinese Physics C, 1983, 7(4): 510-514.
[16]	XU GONG-OU , WANG SHUN-JIN . THE CENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS——V. THE RELATIVE TRANSLATIONAL MOTION IN HEAVY-ION COLLIONS. Chinese Physics C, 1982, 6(2): 243-246.
[17]	MA ZHONG-QI , DONG FANG-XIAO , ZHOU XIAN-JIAN , XUE PEI-YOU . CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE. Chinese Physics C, 1981, 5(2): 182-191.
[18]	Xu GoNG-ou . THE GENERATOR COORDINATE METHOD AND NUCLEAR COLLECTIVE MOTIONS (Ⅳ) TDGCM VERSUS ATDHF. Chinese Physics C, 1981, 5(3): 358-363.
[19]	Fu DE-JI , XIA KE-DING . THE GENERATOR COORDINATE METHOD FOR THE COUPLING BETWEEN THE PAIRING AND SURFACE VIBRATIONS. Chinese Physics C, 1981, 5(4): 503-507.
[20]	Dong Fang-xiao , Zhou Xian-jian , Huang Tao , Xue Pei-you . THE TIME-DEPENDENCES OF THE STATIC SOLUTION OF SU(2) AND SU(3) GAUGE THEORY AT THE PRESENCE OF STATIC EXTENDED SOURCE. Chinese Physics C, 1980, 4(6): 724-734.

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(2278)
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, [email protected]

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.