Hadronic transition amplitudes under null-plane Bethe-Salpeter dynamics

Singh, N. Nimai ; Mitra, A. N. (1988) Hadronic transition amplitudes under null-plane Bethe-Salpeter dynamics Physical Review D - Particles, Fields, Gravitation and Cosmology, 38 (5). pp. 1454-1468. ISSN 1550-7998

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Official URL: http://link.aps.org/doi/10.1103/PhysRevD.38.1454

Related URL: http://dx.doi.org/10.1103/PhysRevD.38.1454


A two-tier form of the Bethe-Salpeter (BS) framework is employed for the evaluation of a few typical transition amplitudes involving strong and electromagnetic decays of qq̅ hadrons with L≥0. The two-tier BS framework, whose rationale has been described in some recent publications, is characterized by (i) a three-dimensional reduction of the BS equation under the null-plane ansatz to make a first contact with mass spectral data and (ii) a reconstructed four-dimensional BS wave function to restore the virtual qq̅ effects (higher Fock states) for the evaluation of hadronic transition amplitudes through the lowest-order Feynman (quark-triangle) diagrams. The processes explicitly considered are the pion form factor Fπ(k2)(ω,a2)→γ π, (ρ,f2)→ππ, (a1,a2)→ρπ, and b1→ωπ. These illustrate the different types of coupling structures that are generally encountered in such a composite-hadron model. The agreement with the data on almost all these amplitudes is excellent, using the same basic constants (ω0,C0,mud) as employed recently for a successful description of the mass spectra of qq̅ and qqq hadrons, as well as of some pionic amplitudes.

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