Processes $e^+e^-\toπ^0({π^0}')γ$ in the NJL model

Details Processes $e^+e^-\toπ^0({π^0}')γ$ in the NJL model Processes $e^+e^-\toπ^0({π^0}')γ$ in the NJL model

2011-06-11

arxiv.org/abs/1106.2215v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, 5 figures

Scientific paper

The processes of electron-positron annihilation into $\pi^0\gamma$ and into $\pi'(1300)\gamma$ are considered within the NJL model. Intermediate vector mesons $\rho^0$, $\omega$, $\rho'(1450)$, and $\omega'(1420)$ 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 $\pi^0\gamma$ production are in agreement with experimental data received in the energy region 600 -- 1020 MeV.

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