Meson decay in a corrected $3^P_0$ model
| Autor: | da Silva, D. T., da Silva, M. L. L., de Quadros, J. N., Hadjimichef, D. |
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| Rok vydání: | 2008 |
| Předmět: | |
| Zdroj: | Phys.Rev.D78:076004,2008 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.78.076004 |
| Popis: | 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 $b_{1}\to\omega\pi$ and $a_{1}\to\rho\pi$ decays. Comment: 3 figures. To appear in Physical Review D |
| Databáze: | arXiv |
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