Narrow Results

The successful mapping technique (Fock–Tani formalism) has produced a corrected ³P₀ model (C³P₀ model), which retains the basic aspects of the ³P₀ predictions with the inclusion of bound-state corrections. In this work we have evaluated the decay amplitude of a strange quarkonia candidate, namely ϕ(1020). A comparison is made with the non-corrected model.

The Fock-Tani formalism is a successful mapping technique that has been used in hadron physics to describe hadron interaction and decay. In this one can obtain the ³P₀ model with bound state corrections. In this work we applay this technique for decay, where the amplitude and its respective decay rates are evaluated.

The Fock-Tani representation, is a field theoretic formalism to treat problems involving both composite particles and their constituents. The application of the Fock-Tani transformation to a pair creation Hamiltonian produces the characteristic expansion in powers of the wave function. In lowest order of this expansion, we obtain the model known in the literature: the ³P₀ model. In higher orders, the Corrected ³P₀ model (C³P₀) is obtained by introducing the bound state kernel. In this work, we use the C³P₀ model to calculate the J/ψ decay rates in the following channels: ρ π, ω η, ω η′, K^*+ K^-, , ϕ η, ϕ η′. We consider that the J/ψ is a mixture given by .

The Fock-Tani representation is a field theory formalism appropriated 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 Hamiltonian of the pair creation produces the characteristic expansion in powers of the wavefunction, 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 $\mathrm{\Delta }$, called the bound state correction. The goal of this work is to study the application of the 3P0 model and C3P0 model in detail for the strange charmed meson sector ($D_{SJ}$ meson). In particular, we shall calculate the decay amplitudes and decay rates of the $D_{s1}{(2536)}^{+}$.