Chinese Physics C > 1977, Vol. 1 > Issue(1): 19-36

THE SYMMETRY OF STRATONS IN

ELEMENTARY PARTICLE THEORY GROUP DEPARTMENT OF PHYSICS PEKING UNIVERSITY

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Abstract：
In this paper,the color symmetry of stratons for a theoretical model proposed some times ago is investigated.This symmetry contains two kinds of transformations, the first is color gauge transformations which leave the color mumber of stratons conserved,the second is color permutations which indicate the equivaluence of dif- ferent color stratons.The structure of this symmetry group（S3α）is investigated.The irreducible representations（IR's）of S3α and the reduction of their direct product are given.The relation between IR's of S3α and those of color U（3）group is discussed. In a simplest physical model only two neutral vector gluons are needed and the super-strong ihteraetions among stratons exhibit saturation properties similar to but somewhat different from the case of the Han-Nambu model.Not only the color singlet, but also other color neutral states belonging to IR's 2 or 1 of S3α all belong to the lowest energy level of the super-strong interactions.If there were eight degenerate vector gluons belonging to IR's 2 and 6,the Han-Nambu model would be reproduced.

References

[1]

李综，卞震，习成，物理学报，24 (1975), 372.[2] 刘耀阳，原子能，3 (1966), 232.[3] 高崇寿，《高能双选反应不变质量分析中新现象的讨论和层子模型》，本期92页.[4] M. Han, Y. Nambu, Phys. Rev., 139B (1965), 1006.[5] R. E. Behrends, et al., Rev. Mod. Phys., 34 (1962), 1;M. Gell-Mann, Phys. Rev., 125 (1962), 1067.[6] H. Weyl, Classical Groups (Princeton, New Jesrey, 1946).

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ELEMENTARY PARTICLE THEORY GROUP DEPARTMENT OF PHYSICS PEKING UNIVERSITY. THE SYMMETRY OF STRATONS IN[J]. Chinese Physics C, 1977, 1(1): 19-36.

ELEMENTARY PARTICLE THEORY GROUP DEPARTMENT OF PHYSICS PEKING UNIVERSITY. THE SYMMETRY OF STRATONS IN[J]. Chinese Physics C, 1977, 1(1): 19-36. shu

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Received: 1977-04-05
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

THE SYMMETRY OF STRATONS IN

ELEMENTARY PARTICLE THEORY GROUP DEPARTMENT OF PHYSICS PEKING UNIVERSITY

Received Date:1977-04-05
Accepted Date:1900-01-01
Available Online:1977-11-05

Abstract:In this paper,the color symmetry of stratons for a theoretical model proposed some times ago is investigated.This symmetry contains two kinds of transformations, the first is color gauge transformations which leave the color mumber of stratons conserved,the second is color permutations which indicate the equivaluence of dif- ferent color stratons.The structure of this symmetry group（S3α）is investigated.The irreducible representations（IR's）of S3α and the reduction of their direct product are given.The relation between IR's of S3α and those of color U（3）group is discussed. In a simplest physical model only two neutral vector gluons are needed and the super-strong ihteraetions among stratons exhibit saturation properties similar to but somewhat different from the case of the Han-Nambu model.Not only the color singlet, but also other color neutral states belonging to IR's 2 or 1 of S3α all belong to the lowest energy level of the super-strong interactions.If there were eight degenerate vector gluons belonging to IR's 2 and 6,the Han-Nambu model would be reproduced.