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Prog. Theor. Phys. Vol. 47 No. 2 (1972) pp. 626-647

[ Full Text PDF : FREE ACCESS (1274K) ]

Dual Realistic Quark Model

Masako Bando, Shigeru Machida, Hisao Nakkagawa and Koichi Yamawaki

Department of Physics, Kyoto University, Kyoto

(Received September 6, 1971)

Abstract:

Spin-, unitary spin-, and momentum-dependences of N-point meson amplitudes are obtained, using the “realistic quark model” in which the quarks are assumed to have the following properties; definite unitary spin, spin, coordinate and statistics. Furthermore we assume cyclic symmetry of hadron external lines and factorization at the hadron poles, which leads us to the same unitary spin dependence as in the case of the “mathematical quark model” in which the quarks are only considered as a mathematical symbol. As for the spin dependence, however, serious differences to appear; many of the difficulties of the mathematical quark model are removed and in the case of π-π scattering, the factor from the high energy behavior is naturally derived from our spin factor. We also offer a reasonable form of “the spatial part” of the scattering amplitude, assuming a certain symmetry at the quark level.


URL : http://ptp.ipap.jp/link?PTP/47/626/
DOI : 10.1143/PTP.47.626

[ Full Text PDF : FREE ACCESS (1274K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 47 No. 6 (1972) pp. 2015-2039 :
    Theory of the Reactions of the Composite Particles
    Shigeru Machida
  2. Progress of Theoretical Physics Vol. 48 No. 3 (1972) pp. 939-963 :
    Quark-Orbital Regge Trajectories
    Hisao Nakkagawa, Koichi Yamawaki and Shigeru Machida
  3. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1159-1171 :
    Relativistic Composite Model Consistent with the Bethe-Salpeter Equation, Approximate SU(6) Symmetry and Duality. I
    Shigeru Machida
  4. Progress of Theoretical Physics Vol. 54 No. 1 (1975) pp. 243-250 :
    Bethe-Salpeter Amplitudes for Baryons
    Shigeru Machida and Hisao Nakkagawa
  5. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 510-525 :
    Solutions of the Bethe-Salpeter Equation with Dual Interaction Kernel for Baryons and SU(6)⊗O(3)L Symmetry
    Shigeru Machida and Hisao Nakkagawa
  6. Progress of Theoretical Physics Vol. 61 No. 6 (1979) pp. 1863-1865 :
    A Note on the Connection between the Semi-Local Duality and the SU(6) Multiplet
    Taketoshi Ino
  7. Progress of Theoretical Physics Vol. 62 No. 4 (1979) pp. 1177-1179 :
    Semi-Local Duality and SU(6) ⊗O(3)L Multiplets. II
    Taketoshi Ino
  8. Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 864-867 :
    Decay Properties of Highly Excited Mesons in a Duality Scheme with the Quark-Model Hadron Spectrum
    Taketoshi Ino

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