Radiative decays of radially excited mesons π0′, ρ0′, and ω′ in the Nambu-Jona-Lasinio model

Radiative decays pi(0)(pi(0)') -> gamma + gamma, pi(0)' -> rho(0)(omega) + gamma, rho(0)'(omega') -> pi(0) + gamma, and rho(0)'(omega') -> pi(0)' + gamma are considered in the framework of the SU(2) x SU(2) Nambu-Jona-Lasinio (NJL) model. Radially excited mesons are described with the help of a simple polynomial form factor. In spite of mixing of the ground and excited meson states in this model, the decay widths of pi(0) -> gamma + gamma and rho(0)(omega) -> pi(0) + gamma are found to be in good agreement with experimental data, as in the standard NJL model. Our predictions for decay widths of radially excited mesons can be verified in future experiments.