ρ(ω) → π0π0γ, ρ(ω) → ηπ0γ decays in the local quark Nambu-Jona-Lasinio model

The branching ratios and photon spectra of the rare processes rho(omega) -> pi(0)pi(0)gamma, rho(omega) -> eta pi(0)gamma are calculated in the framework of the standard local quark Nambu-Jona-Lasinio model. Three types of diagrams are considered: the quark box and the pole diagrams with scalar (sigma, alpha (0)(980)) and vector (rho, omega) mesons. The obtained estimates for the widths of the processes rho(omega) -> pi(0)pi(0)gamma are in satisfactory agreement with existing experimental data. Predictions are made for the widths of the processes rho(omega) -> eta pi(0)gamma.