arXiv subjects
Publications and source records attributed to J. N. de Quadros.
In this work, we use the $C^3P_{\,0}$ model to calculate the decay widths of the low lying charmonium $J^{PC}=1^{--}$ states, nominally $J/ψ(1S)$ and $ψ(2S)$, in the following common channels: $ρ\,π$, $ω\,η$, $ω\,η^\prime$, $K^{\ast +}\,K^-$, $K^{\ast 0}\,\bar{K}^0$, $ϕ\,η$, $ϕ\,η^\prime$.
Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the $^{3}P_{0}$ model, in which $q\bar{q}$ pair production is the dominant mechanism. In this paper we evaluate strong decay amplitudes and partial widths of strange $S$ and $D$ state mesons, namely $ ϕ(1020)$, $ϕ(1680) $, $ ϕ(2050) $, $ϕ_1 (1850) $, $ϕ_2 (1850) $ and $ ϕ_3 (1850) $, in the bound-state corrected $^{3}P_{0}$ decay model (C$^{3}P_{0}$). The C$^{3}P_{0}$ model is obtained in the context of the Fock-Tani formalism, which is a mapping technique.
Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the $3^P_0$ model, in which $q\bar{q}$ pair production is the dominant mechanism. The pair production can be obtained from the non-relativistic limit of a microscopic interaction Hamiltonian involving Dirac quark fields. The evaluation of the decay amplitude can be performed by a diagrammatic technique for drawing quark lines. In this paper we use an alternative approach which consists in a mapping technique, the Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from same microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections. A corrected $3^P_0$ is obtained and applied, as an example, to $b_{1}\toωπ$ and $a_{1}\toρπ$ decays.