Dual Realistic Quark Model

Spin-, unitary spin-, and momentum-dependences of N</it>-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.