Processes e + e − → π 0 ( π 0 ′ ) γ in the NJL model

The processes of electron-positron annihilation into π 0 γ and into π ′ (1300) γ are considered within the NJL model. Intermediate vector mesons ρ 0 , ω , ρ ′ (1450) , and ω ′ (1420) are taken into account. The latter two mesons are treated as the first radial excited states. They are incorporated into the NJL model by means of a polynomial form factor. Numerical predictions for the cross sections of these processes are received for the center-of-mass energies below 2 GeV. Our results for the π 0 γ production are in agreement with experimental data received in the energy region 600 – 1020 MeV.