Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group

Chen Jianhua; Kuang Huisun; Bai Mingfu; Cheng Xiangai

Chinese Physics C> 1995, Vol. 19> Issue(5) : 424-430

Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group

Department of Applied Physics, National University of Defence Technology, Changsha 410073

Abstract
HTML
Reference
Related

PDF

Abstract：
The further classifications of JT coupled states for nucleons by the Casimir operator C of R(5) group have been calculated. The multiplicities of JTC classification (which depends on both J and T) have been factorized into one factor depending on J and T, and the results for j≤7/2 are listed. Tollowing the irredicible representation of R(5), the siniority v and reduced isotopic spin τ can be used to simplify the calculation of matrix elements of any tensor operator by the selection rules of υ and τ.

References

[1]	J.H.Chen,X.A.Cheng,Y.D.Gao,Acta Physica Sinca（OverseasEdition）,2（1993）890.[2]B.H.Flower,B.Szpikowski,Proc.Phys.Soc,84（1964）193.[3]陈健华、况蕙孙，二次量子化方法在原子结构计算中的应用，湖南科技出版社，1992.

[1]	Fan Ying , REN Zhong-Zhou . Theoretical Studies on Electron Scattering of S and Si Isotopes. Chinese Physics C, 2006, 30(10): 983-987.
[2]	XU Shu-Wei , XIE Yuan-Xiang , XU Fu-Rong , LI Zhan-Kui , WANG Xu-Dong , XING Ye-Bing . Further Identification of the Decay of ¹²⁹Pm Near the Proton Drip Line. Chinese Physics C, 2005, 29(3): 237-239.
[3]	ZHU Sheng-Jiang , ZHANG Zheng , XIAO Shu-Dong , CHE Xing-Lai , U Yong-Nan , LI Ming-Liang , ZHENG Ran-Cheng . Further Research on Level Structures of Neutron-Rich Odd-A Ru Nuclei. Chinese Physics C, 2005, 29(1): 23-27.
[4]	DU Dong-Sheng , YANG De-Shan , ZHU Guo-Huai . Further Analysis of Di-gluon Fusion Mechanismfor the Decays of B→Kη′. Chinese Physics C, 2002, 26(1): 1-7.
[5]	Lu Jizong , Huang Baofa . Casimir Energy for Piecewise Uniform Strings. Chinese Physics C, 1999, 23(2): 212-215.
[6]	Zhang Zhihe , Li Ziping . Casimir Effect of the Maxwell- Chern-Simons Field. Chinese Physics C, 1998, 22(1): 87-91.
[7]	Zheng Taiyu , Li Changsong . Massive Fermion Loop Contribution to Casimir Force in Two-Dimensional Case. Chinese Physics C, 1996, 20(S1): 55-59.
[8]	Zheng Taiyu . Casimir Effect at Finite Temperature. Chinese Physics C, 1995, 19(3): 241-244.
[9]	Ren Zhongzhou . Further Studies on Halo Nuclei ¹¹Li,¹⁴Be and ¹⁷B. Chinese Physics C, 1995, 19(6): 562-566.
[10]	Huang Liangxin , Li Hong , Chen Tianlun . Further Study on SU(2)×SU(2) Lattice Chiral Model. Chinese Physics C, 1995, 19(3): 245-250.
[11]	Mao Huishun , Shi Huanzhang , Liu Nianzong , Zhang Zhuxiang , Zhang Caidi , Zheng Linsheng , Zhou Yongshen , Hu Lidong , Zhao Xiaojian , Zhong Xuechu , Tan Yiping , Han Shiwen . Further Study of Radiation Damage of Tile/Fiber Scintillator Calorimeter. Chinese Physics C, 1994, 18(10): 870-878.
[12]	PAN Feng . Vector Coherent State Representations of SO₅ SU₂ SU₂ U₁ U₁ and SO₅ U₁ U₁. Chinese Physics C, 1991, 15(2): 178-186.
[13]	Ni Guangjiong , Zhang Min , Gong Jiawen . A Rigorous Method for Calculating the Casimir Effect. Chinese Physics C, 1991, 15(S3): 289-296.
[14]	ZHENG Tai-Yu . INTERNAL FERMION ONE-LOOP CONTRIBUTION TO THE CASIMIR FORCE. Chinese Physics C, 1990, 14(9): 796-801.
[15]	ZHAO Xuan , ZENG Fan-An , LING You-Guang . A FURTHER STUDY OF QUASI RESONATING GROUP METHOD—— ANALYSIS OF p+⁶Li ELASTIC SCATTERING. Chinese Physics C, 1990, 14(1): 85-91.
[16]	CAO Yu-Fang , PAN Feng , PAN Zhen-Yong . SOME ISOSCALAR FACTORS FOR THE GROUP CHAIN SO(6) SO(5). Chinese Physics C, 1988, 12(1): 123-129.
[17]	WANG Zheng-Da . A FURTHER EXPLORATION FOR MECHANISM OF ANGULAR MOMENTUM TRANSFER IN HEAVY ION REACTION. Chinese Physics C, 1984, 8(5): 596-601.
[18]	WANG KE-LIN , BAO XI-MING , LIU ZU-WEI , CHEN LIN . THE FURTHER DISCUSSION OF GAUGE HIERARCHY. Chinese Physics C, 1981, 5(6): 744-750.
[19]	Xu Jiao-lin , Wu Yong-shi , Chen Shi , Guo Han-ying . ISOSPIN CIASSIFICATION OF HADRONS BY FINITE GROUP. Chinese Physics C, 1980, 4(2): 251-255.
[20]	GAO LUN . FURTHER DISCUSSION ON THE EQUATION AND ITS SOLUTIONS FOR THE BOUND STATES OF MESONS. Chinese Physics C, 1978, 2(3): 211-224.

Access

Get Citation

Chen Jianhua, Kuang Huisun, Bai Mingfu and Cheng Xiangai. Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group[J]. Chinese Physics C, 1995, 19(5): 424-430.

Chen Jianhua, Kuang Huisun, Bai Mingfu and Cheng Xiangai. Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group[J]. Chinese Physics C, 1995, 19(5): 424-430. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4042)
PDF Downloads(475)
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

Further Classification of JT Coupled States for Nucleons by Casimir Operator of R(5) Group

Corresponding author: Chen Jianhua,

Department of Applied Physics, National University of Defence Technology, Changsha 410073

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-05-05

Abstract: The further classifications of JT coupled states for nucleons by the Casimir operator C of R(5) group have been calculated. The multiplicities of JTC classification (which depends on both J and T) have been factorized into one factor depending on J and T, and the results for j≤7/2 are listed. Tollowing the irredicible representation of R(5), the siniority v and reduced isotopic spin τ can be used to simplify the calculation of matrix elements of any tensor operator by the selection rules of υ and τ.