The successful mapping technique (Fock–Tani formalism) has produced a corrected 3P0 model ( C 3P0 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.
Having its origin in a successful mapping technique, the Fock-Tani formalism, the corrected 3 P 0 model (C 3 P 0 ) retains the basic aspects of the 3 P 0 predictions with the inclusion of bound-state corrections. Evaluation of the decay amplitudes has been performed for open-flavor strong decays in the light meson sector. The bound-state corrections introduce a fine-tuning for the former 3 P 0 model, in particular, the adjustment of the D/S ratios in b 1 → ωπ, a 1 → ρπ and h 1 → ρπ decays.
The successful mapping technique, Fock–Tani formalism, has produced a corrected 3P0 model ( C 3P0 model), which retains the basic aspects of the 3P0 predictions with the inclusion of bound-state corrections. The model is applied for charmed mesons decay. The amplitude and its respective decay rates are evaluated.
The 3P0 model is a typical decay model which considers only OZI-allowed strong decays and considers a quark-antiquark pair creation in the presence of the initial state meson. The quark-antiquark pair is created with the vacuum quantum numbers. This model can also be obtained from the non-relativistic limit of the pair creation Hamiltonian. Applying the Reduced Hilbert Space formalism to the pair creation Hamiltonian will produce the characteristic expansion in powers of the wave function, where the 3P0 model is the lowest order term of this expansion. This new model will correct 3P0, which we call the Corrected 3P0 model or C 3P0 model. The model will be applied to the light quarkonia decay sector.
In this work, we use a mapping technique, the Fock–Tani formalism, in order to obtain an effective Hamiltonian starting from microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections. In this approach we evaluate a glueball-quarkonia mixture decay, and as an example, the f0(1710) → ωω decay, shall be considered in this context.
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