SYMMETRY BASIS AND PHYSICAL BASIS UNDER THE L·S AND jj REPRESENTATIONS FOR DI-HADRON SYSTEM

SHI YI-JIN

Chinese Physics C> 1983, Vol. 7> Issue(6) : 743-755

SYMMETRY BASIS AND PHYSICAL BASIS UNDER THE L·S AND jj REPRESENTATIONS FOR DI-HADRON SYSTEM

SHI YI-JIN

Institute of Atomic Energy, Academia Sinica

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper, general expressions for transformation coefficients between the symmetry basis and physical basis of di-hadron system under two representations used commonly (which are called L.S and jj representations) have been given. All coefficients for the Os state six-quark system with spin-isospin SU₂×SU₂are carried out.

References

[1]

M. Flarvey, Nucl. Phys., A352, (1981), 301.[2] M. Harvey, Int. Sym. on Clustering Phenomena in Nuclei, Tubingen, 1981.张宗烨, 余友文, Cornmaum.Theor. Phys. (Beijing), 1(1982), 783.[3] 陈金全等, 物理学报, 26(1977), 307;26(1977),427;27(1978), 31; 27(1978), 203;27(1978), 237,等.“置换群约化系数及其应用、科学出版社, (1981).[4] M. Aammermesh, "Group Theory and Its Application", second printing (Addiaon-Wesley, Read- ing, Mase., 1964).[5] I.M.Gelfand and M.L. Zetlin, Dokl. Akad. Nauk., SSSR 71(1950), 825; G. E. Baird and L. C. Biedenharn, J. Math. Phys., 4(1963), 1449.[6] 陈金全, 施义晋等, "Symmetry and Application of SU(mn) SU(m)XSu(n) Coeffiniente of Fractional Parentage", Nucl. Phys., A393(1983), 122.[7] 陈金全, 施义晋等, "SU(mn) SU(m)XSu(n) Single, Two, Three Particle Ieoecaler Factor Tables for Arbitrary m and n ",将发表于.Nucl. Phys. A.[8] Jin-quan Chen, J. Math. Phys., 22(1981), 1.

[1]	ZHAO Hai-Feng , WU Zi-Yu , Sebilleau Didier . Multiple Scattering Theory in a General Basis. Chinese Physics C, 2007, 31(5): 452-457.
[2]	XU Hao , LIU Zhen-An , JIN Da-Peng , WANG Da-Yong , ZHAO Di-Xin , GUO Ya-Nan . Physical Design of Main Drift Chamber Trigger for BESⅢ Experiment. Chinese Physics C, 2005, 29(4): 376-382.
[3]	MO Xiao-Hu , ZHU Yong-Sheng , YUAN Chang-Zheng , FU Cheng-Dong , LI Gang . Determination of ψ(2S) Total Number by Inclusive Hadronic Decay. Chinese Physics C, 2004, 28(5): 455-462.
[4]	LU Gong-Ru , YU Xian-Qiao . Inclusive b→sτ⁺τ^－ Decay in Two Higgs Doublet Model Ⅲ. Chinese Physics C, 2003, 27(12): 1067-1069.
[5]	SHAO ChangGui , XIAO JunHua , SHAO Liang , PAN GuiJun , CHEN ZhongQiu . Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity. Chinese Physics C, 2000, 24(5): 390-399.
[6]	YANG Huan-Xiong . Hamiltonian Formalism of WZNW Field Under Chevalley Basis. Chinese Physics C, 1992, 16(8): 696-703.
[7]	YUAN Zhu-Shu , HUO Yu-Kun , LIU Jian-Feng , LU Zu-Hui . An Unified Formalism to Study Nonstatistical Effects in Radiative Vapture Reactions. Chinese Physics C, 1991, 15(12): 1086-1093.
[8]	XIE Shu-Qin , ZHANG Qi-Ren . AN SU(3) SYMMETRY IN THE TRIBARYON SYSTEM. Chinese Physics C, 1988, 12(5): 673-682.
[9]	BAO Cheng-Guang , WANG Wei-Wei . CALCULATIONS OF THE HYPERSPHERICAL TRANSFORMATION BRACKETS OF 4-BODY SYSTEMS BY USING THOSE OF THEIR SUBSYSTEMS. Chinese Physics C, 1988, 12(4): 568-572.
[10]	XU Bo-Wei . ON SO(4) SYMMETRY OF DYONS SYSTEM. Chinese Physics C, 1986, 10(2): 249-253.
[11]	YAO Nai-Guo , YU Zu-Rong . THE PHYSICAL BASES OF THE THREE PARTICLE SYSTEM. Chinese Physics C, 1984, 8(6): 720-731.
[12]	WANG Wei-Wei , ZHANG Yu-Shun , LI YANG , RUAN Tu-Nan . UNITARY THEORY OF BARYON-SYSTEM. Chinese Physics C, 1983, 7(1): 57-66.
[13]	YANG Ze-Sen (Tse Sen Yang) . THE SU₂×SU₂ BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEM AND THE TRACELESS BOSON OPERATORS(Ⅲ). Chinese Physics C, 1983, 7(4): 489-499.
[14]	YANG Ze-Sen (Tse-sen Yang) . THE SU₂×SU₂BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEMS AND THE TRACELESS BOSON OPERATORS (Ⅱ). Chinese Physics C, 1983, 7(2): 245-256.
[15]	YU Zu-Rong . TRANSFORMATION COEFFICIENTS BETWEEN SO(6) AND SU(4) GELFAND-ZETLIN STATES. Chinese Physics C, 1983, 7(1): 121-125.
[16]	WANG RU-LIN , PAN JI-ZHI , ZHANG YU-SHUN , WANG WEI-WEI . ORTHOGONAL UNITS OF SYMMETRY GROUP S₄. Chinese Physics C, 1982, 6(5): 588-594.
[17]	YANG ZE-SEN , TSE-SEN YANG . THE SU₂×SU₂BASIS AND THE PHYSICAL BASES FOR THE STATE VECTORS OF d-BOSON SYSTEMS AND THE TRACELESS BOSON OPERATORS (Ⅰ). Chinese Physics C, 1982, 6(5): 630-641.
[18]	ZHANG YU-SHUN , WANG WEI-WEI , LI YANG-GUO , CHEN XIAO-TIAN , RUAN TU-NAN . SU₆ UNITARY SYMMETRY IN DIBARYON SYSTEMS. Chinese Physics C, 1981, 5(2): 149-156.
[19]	Chen Xiao-tian , Yuan Tu-nan , Zhang Yu-shun , Li Yang-guo . UNITARY SYMMETRY IN BARYON-ANTIBARYON SYSTEMS. Chinese Physics C, 1980, 4(4): 445-454.
[20]	CHEN JIN-QUAN , GAO MEI-JUAN , WANG FAN . ON THE PHASE AND THE REPRESENTATION TRANSFORMATIONS OF SU_n BARYON AND MESON WAVE FUNCTIONS. Chinese Physics C, 1979, 3(4): 408-417.

Access

Get Citation

SHI YI-JIN. SYMMETRY BASIS AND PHYSICAL BASIS UNDER THE L·S AND jj REPRESENTATIONS FOR DI-HADRON SYSTEM[J]. Chinese Physics C, 1983, 7(6): 743-755.

SHI YI-JIN. SYMMETRY BASIS AND PHYSICAL BASIS UNDER THE L·S AND jj REPRESENTATIONS FOR DI-HADRON SYSTEM[J]. Chinese Physics C, 1983, 7(6): 743-755. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2129)
PDF Downloads(27)
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

SYMMETRY BASIS AND PHYSICAL BASIS UNDER THE L·S AND jj REPRESENTATIONS FOR DI-HADRON SYSTEM

SHI YI-JIN

Institute of Atomic Energy, Academia Sinica

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-12-05

Abstract: In this paper, general expressions for transformation coefficients between the symmetry basis and physical basis of di-hadron system under two representations used commonly (which are called L.S and jj representations) have been given. All coefficients for the Os state six-quark system with spin-isospin SU₂×SU₂are carried out.