Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-02-17
Physics
High Energy Physics
High Energy Physics - Phenomenology
62 pages, 3 figures, Latex
Scientific paper
QCD justification of SU(m/n) supergroups are shown to provide a basis for the existence of an approximate hadronic supersymmetry. Effective Hamiltonian of the relativistic quark model is derived, leading to hadronic mass formulae in remarkable agreement with experiments. Bilocal approximation to hadronic structure and incorporation of color through octonion algebra (based on quark-antidiquark symmetry) is also shown to predict exotic diquark-antidiquark ($D-\bar{D}$) meson states. A minimal supersymmetric sceme based on $SU(3)^c \times SU(6/1)$ that excludes exotics is constructed. Symmetries of three quark systems and possible relativistic formulation of the quark model through the spin realization of Wess-Zumino algebra is presented.
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