THE FAMILY PROBLEM OF QUARKS AND LEPTONS IN TWO KINDS OF COMPOSITE MODELS

YANG Xin-E

Chinese Physics C> 1985, Vol. 9> Issue(6) : 660-668

THE FAMILY PROBLEM OF QUARKS AND LEPTONS IN TWO KINDS OF COMPOSITE MODELS

YANG Xin-E ^,

Department of Physics, Tianjin University

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Abstract：
Two kinds of SU(3)_sc×SU(N) composite models (the model A and model B) of quarks and leptons are suggested to solve the family problem. The constituents (preons) of the models are two types of massless spin-1/2 fermions which belong to (3,N) and (3, N*) representations of the gauged symmetry group SU(3)_sc×SU(N). Applying the Fermi principle to three-preons supercolor-singlet composite fermions and according to the models' requires ments (the fermions in one family originates from the same representation of SU(N) and belong to the same representation of the horizontal gauge group), one obtains the family-number of SU(3)_sc×SU(N), whereSU(3)_sc×SU(6) and SU(3)_sc×SU(5) of the model A predict three and five generations respectively.

References

[1]

J. C. Pati and A. Salam, Phys. Rev., D10(1974), 275.[2] H. Harari, Phys. Lett., 86B (1979), 83; H. Terazawa, Phys. Rev., D22 (1980),184; O. W. Greer- berg and Joseph Sucher, Phys. Lett., 99B (1981)，339; H. Fritzsch and G. Mandelbaum, Phys. Lett., 102B( 1981), 319; R. Barieri and R. N. Mohapatra and A. Masiero, Phys. Lett., 105B (1981)369.[3] R. Casalbuoni and R. Gatto, Phys. Lett., 93B(1980), 47; F-X. Dong, T-S. Tu, P-Y. Xue, Phys Lett., 101B(1981), 67; Y. Tosa and R. E. Marshak, Phys. Lett., D27(1983), 616.[4] R Casalbuoni and R. Gatto, 3; C. H. Albright, Phys. Rev., D24(1981), 1969; C. H. Albright,B. Schrempp, and F. Schrempp, Phys. Lett., 108B (1982), 291.[5] H. Harari and N. Seiberg, WIS-81/38.[6] G'tHooft, Lecture given at the Cargèse Summer Institute (August 1979).

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YANG Xin-E. THE FAMILY PROBLEM OF QUARKS AND LEPTONS IN TWO KINDS OF COMPOSITE MODELS[J]. Chinese Physics C, 1985, 9(6): 660-668.

YANG Xin-E. THE FAMILY PROBLEM OF QUARKS AND LEPTONS IN TWO KINDS OF COMPOSITE MODELS[J]. Chinese Physics C, 1985, 9(6): 660-668. 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

THE FAMILY PROBLEM OF QUARKS AND LEPTONS IN TWO KINDS OF COMPOSITE MODELS

YANG Xin-E ^,

Corresponding author: YANG Xin-E,

Department of Physics, Tianjin University

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-12-05

Abstract: Two kinds of SU(3)_sc×SU(N) composite models (the model A and model B) of quarks and leptons are suggested to solve the family problem. The constituents (preons) of the models are two types of massless spin-1/2 fermions which belong to (3,N) and (3, N*) representations of the gauged symmetry group SU(3)_sc×SU(N). Applying the Fermi principle to three-preons supercolor-singlet composite fermions and according to the models' requires ments (the fermions in one family originates from the same representation of SU(N) and belong to the same representation of the horizontal gauge group), one obtains the family-number of SU(3)_sc×SU(N), whereSU(3)_sc×SU(6) and SU(3)_sc×SU(5) of the model A predict three and five generations respectively.