The Fock-Tani representation is a field theory formalism app
ropriated for the simultaneous treatment of composite particles and their constituents. The 3P0 model is a typical decay model which considers only OZI-allowed strong decays. The model considers a quark-antiquark pair created with the vacuum quantum numbers in the presence of the initial state meson. It is described as the non-relativistic limit of the pair creation Hamiltonian.
Applying the Fock-Tani transformation to the microscopic H amiltonian of the pair creation produces the characteristic expansion in powers of the wave function, where the 3P0 model is the lowest order in the expansion. The corrected 3P0 model (C3P0) is obtained from higher orders in the expansion, by the introduction of the bound state kernel ∆, called the bound state correction. The goal of this work is to study the aplication of the 3P0 model and C3P0 model in detail for the
J/Ψ mesons, where we consider that they are formed by mixing c1(u ̄u+d ̄d) +c2s ̄s+c3c ̄c. To consider J/Ψ given by mixtures comes from studies that attempt to solve the puzzle. We find the decay amplitudes and decay rates J/Ψ.