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The $U(3) \times U(3)$ chiral symmetric NJL model describing pseudoscalar,vector, and axial vector mesons in both the ground state and first radiallyexcited states is shortly presented in this review. In this model, it ispossible to describe a large number of low-energy interactions of mesons,$\tau$ lepton decays into mesons and processes of meson production inelectron-positron annihilations in satisfactory agreement with the experiments.In describing a number of processes, it turned out to be necessary to take intoaccount the interactions of mesons in the final state.

Low-energy interactions of mesons with participation of the first radially excited states in $U(3) \times U(3)$ NJL model