Radially excited scaler, pseudoscalar, and vector meson nonets in a chiralquark model

A chiral Lagrangian containing, in addition to the usual meson fields, thei r first radial excitations is constructed. The Lagrangian is derived by bos onization of a Nambu-Jona-Lasinio (NJL) type quark model with separable non local interactions. The nonlocality is described by form factors correspond ing to 3-dimensional excited state wave functions. The spontaneous breaking of chiral symmetry is governed by the standard NJL gap equations. A simple SU(2) x SU(2) version of the model is used to demonstrate all low-energy t heorems to hold valid in the chiral limit. A more realistic U(3) x U(3) mod el with 't Hooft interaction is constructed to describe the mass spectrum o f excited scalar, pseudoscalar, and vector mesons. On the basis of global c hiral symmetry, we use the same form factors for the scalar and pseudoscala r mesons. Having fixed the form factor parameters by masses of pseudoscalar mesons, we predict the mass spectrum of scalar mesons. This allows us to i nterpret experimentally observed scalar, pseudoscalar, and vector meson sla tes as members of quark-antiquark nonets. It is shown that the a(o)(1450), K-o* (1430),f(o)(1370),f(J)( 1710) scalar meson states are the first radial excitations of the ground states: a(o)(980), K-o* (960), f(o)(400-1200), f (J)(980). The weak decay constants F-pi, F-pi, F-K, F-K and the main strong decay widths of the scalar, pseudoscalar, and vector meson nonets are calc ulated.