Mesons states and their dependence on spin and isospin

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Abstract
  Meson is composed of one quark and one antiquark moving under the effect of confinement, oscillating and color potentials. Since quarks are particles with spin , there is a spin-spin interaction potential. Also we have isospins for u and d quarks and we can consider related potentials on isospin-isospin and spin-isospin effects. By comparing the given meson spectrum with the amount calculated in this model, it can be inferred that mesons quark-antiquark are in a state of singlet or triplet regarding spin and isospin. By using this model, the states of configuration spin-isospin of each meson can be calculated

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