Summary
A chiralU(3) ×U(3) Lagrangian containing, besides the usual meson fields, their first radial excitations is considered. The Lagrangian is derived by bosonization of the Nambu-Jona-Lasinio (NJL) quark model with separable nonlocal interactions. The spontaneous breaking of chiral symmetry is governed by the NJL gap equation. The first radial excitations of the pion, ρ, ω, kaon, K* and ϕ are described with the help of form factors. The values for the decay widths for the processes π′ → ρπ, ρ′ → 2π, ρ′ → ωπ, ω′ → ρπ, K*′ → ρK, K*′ → K*π, K*′ → Kπ, K′ → K*K, K′ → K, K′ → Kρ, K′ → K*π and K′ → K2π are obtained in satisfactory agreement with the experimental data.
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Volkov, M.K., Yudichev, V.L. & Nagy, M. Decays of excited pseudoscalar and vector mesons in the chiralU(3) ×U(3) model. Il Nuovo Cimento A (1971-1996) 112, 955–975 (1999). https://doi.org/10.1007/BF03035904
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DOI: https://doi.org/10.1007/BF03035904