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

SHI YI-JIN

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2024年10月30日

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

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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

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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.

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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

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

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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.