Processes $e^{+}{e}^{-}\to {\pi }^0({{\pi }^0}^{\prime })\gamma$ in the NJL model

Abstract

The processes of electron-positron annihilation into ${\pi }^0\gamma$ and into ${\pi }^{\prime }(1300)\gamma$ are considered within the NJL model. Intermediate vector mesons ${\rho }^0$, $\omega$, ${\rho }^{\prime }(1450)$, and ${\omega }^{\prime }(1420)$ 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.

arXiv comment4 pages, 5 figures

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• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• The processes $e^{+}{e}^{-}\to \pi \pi ({\pi }^{\prime })$ in the extended NJL model
• Processes of $e^{+}{e}^{-}\to (\eta ,{\eta }^{\prime },\eta (1295),\eta (1475))\gamma$ in the extended Nambu -- Jona-Lasinio model
• On the mixing angle of the vector mesons $\omega (782)$ and $\varphi (1020)$
• Two-photon decays and photoproduction on electrons of $\eta (550)$, ${\eta }^{\prime }(958)$, $\eta (1295)$, and $\eta (1475)$ mesons
• Decays of $\tau \to \rho (770)({\rho }^{\prime }(1450)){\nu }_{\tau }$ and $\tau \to K^{\ast }(892)(K^{{\ast }^{\prime }}(1410)){\nu }_{\tau }$ in the extended Nambu - Jona- Lasinio model
• Radiative decays of radially excited pseudoscalar mesons in the extended Nambu--Jona-Lasinio model
• The production of the $f_1(1285)\gamma$ and $a_1(1260)\gamma$ in colliding $e^{+}{e}^{-}$-beams in threshold domain
• The processes $e^{+}{e}^{-}\to K^{\pm }(K^{\ast \mp }(892),K^{\ast \mp }(1410))$ and $e^{+}{e}^{-}\to (\eta ,{\eta }^{{}^{\prime }}(958))(\varphi (1020),\varphi (1680))$ in the extended Nambu-Jona-Lasinio model