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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 frameworkof the standard local quark Nambu--Jona-Lasinio (NJL) model. Three types ofdiagrams are considered: the quark box and the pole diagrams with scalar(sigma,a_0(980)) and vector (rho,omega) mesons. The obtained estimations forthe widths of the processes rho(omega)-> pi^0 pi^0 gamma are in satisfactoryagreement with existing experimental data. Predictions are made for the widthsof the processes rho(omega) -> eta pi^0 gamma.

rho(omega)-> pi^0 pi^0 gamma, rho(omega) -> eta pi^0 gamma decays in the local quark Nambu--Jona-Lasinio model