Processes e+e−→π0(π0′)γe^+e^-\toπ^0({π^0}')γ in the NJL model

preprint2011arXivOpen access

Abstract

The processes of electron-positron annihilation into π0γπ^0γ and into π′(1300)γπ'(1300)γ are considered within the NJL model. Intermediate vector mesons ρ0ρ^0, ωω, ρ′(1450)ρ'(1450), and ω′(1420)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 π0γπ^0γ production are in agreement with experimental data received in the energy region 600 -- 1020 MeV.

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