SU(mn)<IMG style="WIDTH: 9px; HEIGHT: 8px" height=19 src="http://hepnp.ihep.ac.cn/qikan/manage/ewebeditor/UploadFile/2011616151514814.jpg" width=25 border=0>SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE

CHEN Jin-Quan

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> 1983, Vol. 7> Issue(4) : 443-453

SU(mn)SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE

CHEN Jin-Quan ^, ,

Abstract
HTML
Reference
Related

PDF

Abstract：
Utilizing the Clebsch-Gordan coefficients of the permutation groups, the SU(mn)SU(m)×SU(n) single-particle coefficients of fractional parentage for up to five particles are calculated and tabulated for arbitrary m and n.

References

[1]

H. A. Jahn and H. Van Wieringen, Proc. Roy. Soc. (London).A209(1951), 502.[2] S. I. So and D. Strottman, J. Math. Phys., 20(1379), 153[3] D. Strottman, J. Math Phys., 20(1979), 1643.[4] D. Strottman, Phys Rev., D20(1979), 748.[5] M. Harvey, Nucl. Phys., A352(1981), 301.[6] M. Harvey, Nucl. Phys., A352(1981), 326.[7] 张宗烨, 厉光烈, 高能物理与核物理26(1977), 467.[8] R. H. Dalitz and A. Gal. Ann. Phys., 13(1981). 314.[9] J. Q. Chen, J. Math. Phys., 22(1981), 1.[10] 陈金全, 高美娟, 置换群约化系数及其应用, 科学出版社, 1981.[11] J. Q. Chen.Y.J. Shi, D H. Feng and M. Vallieres, Nucl Phys., A393(1983), 122.[12] 陈金全, 群表示论的新途径, 上海科技出版社, 1983(在印刷中)。[13] J. Q. Chen, X. G. Chen and M. J. Gao, J. Phys, A: Math. Gen., 16(1983)., L47.[14] K. P. Bickerstaff, P. H. Butler, M. B. Butts. R. W. Haase and M. F. Reid, J. Phys, A: Math. Gen., 15(1982), 1087.

[1]	Ying Chen , Wei-Feng Chiu , Ming Gong , Long-Cheng Gui , Zhao-Feng Liu . Exotic vector charmonium and its leptonic decay width. Chinese Physics C, 2016, 40(8): 081002. doi: 10.1088/1674-1137/40/8/081002
[2]	DAI Jing , LU Xiang-Yang , QUAN Sheng-Wen , ZHANG Bao-Cheng , LIN Lin , HAO Jian-Kui , ZHU Feng , XU Wen-Can , HE Fei-Si , JIN Song , WANG Fang , LIU Ke-Xin , ZHAO Kui . Cold RF test and associated mechanical features correlation of a TESLA-style 9-cell superconducting niobium cavity built in China. Chinese Physics C, 2012, 36(2): 156-159. doi: 10.1088/1674-1137/36/2/010
[3]	A. G. Shamov (KEDR collaboration) . Measurement of J/ψ leptonic width with the KEDR detector. Chinese Physics C, 2010, 34(6): 836-841. doi: 10.1088/1674-1137/34/6/036
[4]	LI Xiu-Rong , YUAN Chang-Zheng . Study of K^*(892) mass and width splitting caused by model difference. Chinese Physics C, 2009, 33(5): 321-326. doi: 10.1088/1674-1137/33/5/001
[5]	HUI Ping , CHEN QiZhou . 0⁺⁺ Glueball Mass in 2+1-D SU(3) LGT. Chinese Physics C, 2000, 24(9): 805-809.
[6]	Hul Ping . (2+1)-D SU(3)0⁺⁺ Glueball Wavefunction. Chinese Physics C, 1999, 23(4): 340-346.
[7]	Huang Liangxin , Li Hong , Chen Tianlun . Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
[8]	CHEN Feng-Zhi . SU(23) Grand Unified Model. Chinese Physics C, 1993, 17(3): 222-226.
[9]	HOU Bo-Yu , LI Kang , WANG Pei . FUNDAMENTAL PROBLEMS OF SU(2)_t WZW MODELS. Chinese Physics C, 1990, 14(8): 711-723.
[10]	Zheng Xite , Xu Yong . Analytic Study of SU(3) Lattice Gauge Theory. Chinese Physics C, 1989, 13(S3): 249-252.
[11]	BAO Shu-Qing , XUE Xiao-Zhou . SU(9) GRAND UNIFIED PREON MODEL SATISFYING COMPLEMENTARITY. Chinese Physics C, 1988, 12(3): 324-328.
[12]	WAN Ling-De , ZHANG Xin-Min , LU Gong-Ru , XUE Xiao-Zhou . A CONFINING SU(4)×SU(4) COMPOSITE MODEL OF THE WEAK INTERACTIONS. Chinese Physics C, 1986, 10(4): 420-426.
[13]	ZHANG Xin-Min , XUE Xiao-Zhou . SU(9) GRAND UNIFICATION MODEL OF SUBQUARKS. Chinese Physics C, 1986, 10(3): 271-276.
[14]	JIANG Xiang-Dong . AN SU(6) GRAND UNIFIED MODEL. Chinese Physics C, 1984, 8(3): 272-278.
[15]	YU Zu-Rong . TRANSFORMATION COEFFICIENTS BETWEEN SO(6) AND SU(4) GELFAND-ZETLIN STATES. Chinese Physics C, 1983, 7(1): 121-125.
[16]	XU De-Zhi . AN SU(4)×SU(2)×U(1) UNIFIED MODEL. Chinese Physics C, 1983, 7(1): 13-19.
[17]	DONG Fang-Xiao , DU Dong-Sheng , XUE Pei-You . COMMENT ON LIGHT-FERMION MASS HIERARCHY PROBLEM IN SU(9) GRAND UNIFIED MODELS. Chinese Physics C, 1983, 7(1): 20-27.
[18]	CHEN FENG-ZHI , HAO CHUN . THE CP VIOLATION OF SU(7) MODEL. Chinese Physics C, 1982, 6(1): 30-35.
[19]	MA ZHONG-QI , DONG FANG-XIAO , TU TUNG-SHENG , XUE PEI-YOU . A POSSIBLE SU(9) GRAND UNIFIED MODEL. Chinese Physics C, 1982, 6(3): 337-340.
[20]	DONG FANG-XIAO , DU DONG-SHENG . SU_4×SU'₃MODEL AND γ-NEW PARTICLES. Chinese Physics C, 1979, 3(6): 788-790.

Access

Get Citation

CHEN Jin-Quan and SU(mn)

SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE[J]. Chinese Physics C, 1983, 7(4): 443-453.

CHEN Jin-Quan and SU(mn)

SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE[J]. Chinese Physics C, 1983, 7(4): 443-453. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2334)
PDF Downloads(409)
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

SU(mn)SU(m)×SU(n) SINGLE-PARTICLE COEFFICIENTS OF FRACTIONAL PARENTAGE

CHEN Jin-Quan ^,

Corresponding author: CHEN Jin-Quan,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-08-05

Abstract: Utilizing the Clebsch-Gordan coefficients of the permutation groups, the SU(mn)SU(m)×SU(n) single-particle coefficients of fractional parentage for up to five particles are calculated and tabulated for arbitrary m and n.