Excited pions , ρ - and ω - mesons and their decays in a chiral SU ( 2 ) × SU ( 2 )

A chiral SU(2)× SU(2) Lagrangian containing, besides the usual meson fields, their first radial excitations is considered. The Lagrangian is derived by bosonization of the Nambu– Jona-Lasinio quark model with separable non-local interactions, with form factors corresponding to 3–dimensional ground and excited state wave functions. The spontaneous breaking of chiral symmetry is governed by the NJL gap equation. The first radial excitations of the pions, ρ-and ω-mesons are described with the help of two form factors. The weak decay constant Fπ′ is calculated. The values for the decay widths of the processes ρ → 2π, π → ρπ, ρ → 2π, ρ → ωπ and ω → ρπ are obtained in agreement with the experimental data. 1 E-mail: [email protected] 2 E-mail: [email protected] 3 E-mail: [email protected]