Processes of $e^{+}{e}^{-}\to (\eta ,{\eta }^{\prime },\eta (1295),\eta (1475))\gamma$ in the extended Nambu -- Jona-Lasinio model

Abstract

In the extended NJL model the total cross sections of the processes $e^{+}{e}^{-}\to (\eta ,{\eta }^{\prime },\eta (1295),\eta (1405))\gamma$ at energies up to 2 GeV are calculated. The intermediate vector mesons $\rho (770)$, $\omega (782)$, $\varphi (1020)$, ${\rho }^{\prime }(1450)$, ${\omega }^{\prime }(1420)$ and ${\varphi }^{\prime }(1680)$ are taken into account. The latter three mesons are treated as the first radial excited states. They are incorporated into the NJL model by means of polynomial form factors. The calculation results are in satisfactory agreement with the experimental data obtained with the SND detector at the VEPP-2M, Novosibirsk. The predictions given for the process $e^{+}{e}^{-}\to ({\eta }^{\prime },\eta (1295),\eta (1405))\gamma$ have not been experimentally tested yet.

10 pages, 6 figures, 2 tables

References in corpus (3)

• Study of the $e^{+}{e}^{-}\to \eta \gamma$ process with SND detector at the VEPP-2M $e^{+}{e}^{-}$ collider
• The decays ${\rho }^{-}\to \eta {\pi }^{-}$ and ${\tau }^{-}\to \eta ({\eta }^{\prime }){\pi }^{-}\nu$ in the NJL model
• Production of $\omega {\pi }^0$ pair in electron-positron annihilation

Cited by in corpus (5)

• The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ in the extended NJL model
• Understanding the cross section of $e^{+}{e}^{-}\to \eta J/\psi$ process via nonrelativistic QCD
• 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