Meson decay in a corrected $3_0^P$ model

Abstract

Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the $3_0^P$ 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 $3_0^P$ is obtained and applied, as an example, to $b_1\to \omega \pi$ and $a_1\to \rho \pi$ decays.

3 figures. To appear in Physical Review D

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Cited by in corpus (5)

• Angular momentum coefficients for meson strong decay and unquenched quark models
• Strong decays of strange quarkonia in a corrected 3P0 model
• Light meson decay in the c3p0 model
• Pionic Contribution to Neutrinoless Double Beta Decay
• Charmonium decay in the C3P0 Model