Meson decay in a corrected $3^P_0$ model

Abstract

Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the 3 P0 model, in which q 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 P0 is obtained and applied, as an example, to b1 → ωπ and a1 → ρπ decays.