Branching Rules for U(N)⊃SP(N)⊃O(3)

Wang Jiajun; Sun Hongzhou

Chinese Physics C> 1993, Vol. 17> Issue(S4) : 395-402

Branching Rules for U(N)⊃SP(N)⊃O(3)

Wang Jiajun ¹ ,
Sun Hongzhou ²

1 Department of Physics, Peking University, Beijing, China;
2 Department of Physics, Tsinghua University, Beijing, China

Abstract
HTML
Reference
Related

PDF

Abstract：
Branching rules for group chain N(U)⊃SP(N)⊃O(3) of the irreducible representations[2^a1^b] of U(N) are discussed by formulas of group direct product decomposition. Simple recurrence formulas of these branching rules are obtained. It provides a simple method to find the branching rules for this type of problem. They are very efficient to simplify the calculations of Fractional Parentage Coefficients. This method can also be used in finding branching rules for group chain U(N)⊃O(N)⊃0(3).

[1]	LIU Xiao-Xia , LÜ Xiao-Rui , ZHU Yong-Sheng . Combined estimation for multi-measurements of branching ratio. Chinese Physics C, 2015, 39(10): 103001. doi: 10.1088/1674-1137/39/10/103001
[2]	PAN Xue , CHEN Li-Zhu , CHEN Xiao-Song , WU Yuan-Fang . Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models. Chinese Physics C, 2013, 37(12): 124103. doi: 10.1088/1674-1137/37/12/124103
[3]	YUAN Chang-Zheng , MO Xiao-Hu , WANG Ping . Branching fraction of the isospin violating process φ → ωπ⁰. Chinese Physics C, 2011, 35(6): 543-544. doi: 10.1088/1674-1137/35/6/006
[4]	ZHANG Jian-Rong , HUANG Ming-Qiu . Heavy flavor baryon spectra via QCD sum rules. Chinese Physics C, 2009, 33(12): 1385-1388. doi: 10.1088/1674-1137/33/12/061
[5]	WU Xing-Hua , ZHOU Ming-Zhen , HUANG Tao . Normalization Constants of the Twist-3 Distribution Amplitudes of the Pion and Kaon From the QCD Sum Rules. Chinese Physics C, 2005, 29(8): 727-730.
[6]	LIU Miao , QI Ze-Ming , SHI Chao-Shu , XU Mei , ZHANG Wei-Ping , LIU Tao , XIE Ya-Ning . EXAFS Study the Local Structure of Nanocrystalline Lu₂O₃:Eu. Chinese Physics C, 2005, 29(S1): 93-96.
[7]	QIAN Hai-Jie , SU Run , WANG Jia-Ou , WU Xiang , DONG Yu-Hui , WU Zi-Yu , WANG Yu-Tian , WEI Long , , . O 1s2p2p Auger Process Investigation of the Pr_1-x Sr_x MnO₃ System. Chinese Physics C, 2003, 27(S1): 40-44.
[8]	WANG Rong , XU Yong-Jun , ZHU Jia-Zheng , ZHENG Yong-Nan , ZHOU Dong-Mei , ZHU Sheng-Yun . Voids in α–Al₂O₃ Irradiated by 85 MeV ¹⁹F Ions. Chinese Physics C, 2003, 27(7): 649-652.
[9]	YANG Peng-Cheng , CAI Xiao-Hai , HAO Jun-Chang , ZI Feng-Lan , XIE You-Chang , HU Tian-Dou , XIE Ya-Ning , ZHANG Jing . EXAFS Study of ZnO/γ-Al₂O₃ Prepared by Co-Precipitation Method. Chinese Physics C, 2001, 25(S1): 17-20.
[10]	BES Collaboration . Measurements of the Branching Ratios for the Decays J/ψ→γπ⁰,γη, γη'→ 3γ at BES. Chinese Physics C, 1997, 21(5): 385-392.
[11]	Bai Jingzhi , Bian Jianguo , Chai Zhengwei , Chen Guangpei , Chen Hongfang , Chen Jiangchuan , Chen Shaomin , Chen Yaqing , Chen Yu , Chen Yuanbo , Cheng Baosen , Cui Xiangzong , Ding Huiliang , Du Zhizhen , Fan Xiaoling , Fang Jian , Gao Cuishan , Gao Meili , Gao Shuqi , Gu Jianhui , Gu Shudi , Gu Weixin , Gu Yifan , Guo Yanan , Han Shiwen , Han Ying , He Jingtang , He Ju , He Mao , Hu Guiyun , Hu Jingliang , Hu Qionghui , Hu Tao , Hu Xiaoqing , Huang Xiuping , Huang Yinzhi , Jiang Chunhua , Jin Shan , Jin Yan , Kang Shuhui , Ke Zunjian , Lai Yuanfen , Lan Huibin , Lang Pengfei , Li Jin , Li Peiqin , Li Qun , Li Rubai , Li Wei , Li Weidong , Li Weiguo , Li Xinhua , Li Xiaonan , Lin Shuzi , Liu Huaimin , Liu Jing , Liu Jinghua , Liu Qi , Liu Rongguang , Liu Yan , Liu Zhenan , Lü Feng , Lü Junguang , Lu Jianye , Luo Shuanqun , Luo Yong , Ma Aimin , MaEncheng , Ma Jimao , Mao Huishun , Mao Zepu , Meng Xiangcheng , Ni Hulling , Nie Jing , Qi Nading , Qu Yunhe , Qiu Jinfa , Que Youkun , Rong Gang , Shao Yuying , Shen Benwei , Shen Dingli , Shen Hong , Shen Xiaoyan , Sheng Huayi , Shi Huanzhang , Song Xiaofei , Sun Fang , Sun Hansheng , Sun Shijun , Tan Yiping , Tang Suqiu , Tian Jianling , Tong Guoliang , Wang Feng , Wang Jufang , Wang Linzhou , Wang Lingshu , Wang Man , Wang Meng , Wang Peiliang , Wang Ping , Wang Shaomin , Wang Taijie , Wang Yunyong , Wei Chenglin , Wu Yougeng , Xi Deming , Xia Xiaomi , Xie Peipei , Xiong Weijun , Xu Guofa , Xu Rongsheng , Xu Zhijing , Xue Shengtian , Yan Jie , Yan Wuguang , Yang Changyou , Yang Chunmin , Yang Jie , Yang Xiaofeng , Ye Minghan , Ye Shizhang , Ye Shuwei , Yi Kai , Yu Chuansong , Yu Chunxu , Yu Zhitang , Yu Zhongqiang , Yuan Changzheng , Zhang Bingyun , Zhang Changchun , Zhang Dahua , Zhang Dehong , Zhang Huiling , Zhang Jian , Zhang Jiawen , Zhang Lin , Zhang Liangsheng , Zhang Qinjian , Zhang Shaoqiang , Zhang Xueyao , Zhang Yu , Zhang Yueyuan , Zhao Dixin , Zhao Haiwen , Zhao Jingwei , Zhao Meng , Zhao Weiren , Zheng Jianping , Zheng Linsheng , Zheng Zhipeng , Zhou Guangpu , Zhou Huashi , Zhou Li , Zhou Yuehua , Zhu Guoyi , Zhu Qiming , Zhu Yongsheng , Zhu Yucan , Zhuang Baoan . Measurement of the Branching Ratios for J/ψ→γπ⁰, γη'→3γ on the BES. Chinese Physics C, 1997, 21(S2): 9-14.
[12]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[13]	Shao Bin . Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[14]	Li Yinwan , Zeng Qi , Hou Boyuan . Complete Integrable O(3)-σModel and r,s-Matrices. Chinese Physics C, 1994, 18(6): 518-524.
[15]	Wang Jiajun , Sun Hongzhou . Branching Rules for U(N) SP(N) O(3). Chinese Physics C, 1994, 18(3): 269-276.
[16]	CHEN Zhiqian . Binding Strength and Oxygen Coordination of the Fe Sites in High T_C GdBa₂ Cu₃O_7—δ. Chinese Physics C, 1993, 17(11): 971-975.
[17]	Chen Zhiqian . Binding Strength and Oxygen Coordination of the Fe Sites in High T_c GdBa₂Cu₃O_7-δ. Chinese Physics C, 1993, 17(S3): 225-229.
[18]	Chen Zhiqian , Zheng Renrong , Yin Chuanzong . Mössbauer Study of High T_c GdBa₂Cu₃O_7-δ. Chinese Physics C, 1992, 16(S2): 117-122.
[19]	CHEN Zhi-Qian , ZHENG Ren-Rong , YIN Chuan-Zong . Mossbauer Study of GdBa₂Cu₃O_7－δ. Chinese Physics C, 1992, 16(5): 385-389.
[20]	GAO Xiao-Chun , XU Jing-Bo , YAN Ji-Jin , LI Wen-Zhu . Removability of the Topological Term in the O(3) Nonlinear σ-model. Chinese Physics C, 1991, 15(7): 591-597.

Access

Get Citation

Wang Jiajun and Sun Hongzhou. Branching Rules for U(N)⊃SP(N)⊃O(3)[J]. Chinese Physics C, 1993, 17(S4): 395-402.

Wang Jiajun and Sun Hongzhou. Branching Rules for U(N)⊃SP(N)⊃O(3)[J]. Chinese Physics C, 1993, 17(S4): 395-402. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1992-08-27

Fund

Article Metric

Article Views(565)
PDF Downloads(0)
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

Branching Rules for U(N)⊃SP(N)⊃O(3)

1 Department of Physics, Peking University, Beijing, China;

2 Department of Physics, Tsinghua University, Beijing, China

Received Date: 1992-08-27

Abstract: Branching rules for group chain N(U)⊃SP(N)⊃O(3) of the irreducible representations[2^a1^b] of U(N) are discussed by formulas of group direct product decomposition. Simple recurrence formulas of these branching rules are obtained. It provides a simple method to find the branching rules for this type of problem. They are very efficient to simplify the calculations of Fractional Parentage Coefficients. This method can also be used in finding branching rules for group chain U(N)⊃O(N)⊃0(3).

Branching Rules for U(N)⊃SP(N)⊃O(3)

Abstract：

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Branching Rules for U(N)⊃SP(N)⊃O(3)

HTML

目录