Meson decay in a corrected 3P0 model

The 3P0 model, in which qq pair production is the dominant mechanism, is extensively applied to both light and heavy meson decay and stands as one of the most successful strong decay models. The pair production can be obtained from the nonrelativistic 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 of a mapping technique, the Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from the same microscopic interaction. An additional effect is manifested in this formalism associated to the extended nature of mesons: bound-state corrections. A corrected 3P0 is obtained and applied, as an example, to b1→ωπ and a1→ρπ decays.