The process $e^{+}{e}^{-}\to \eta ({\eta }^{\prime })2\pi$ in the extended NJL model

Abstract

Process of electron-positron annihilation into $\eta ({\eta }^{\prime })2\pi$ is described within the extended NJL model in the energy range up to about 2 GeV. Contributions of intermediate vector mesons $\rho (770)$ and $\rho (1450)$ are taken into account. Results for the $\eta 2\pi$ channel are found to be in a reasonable agreement with experimental data. Predictions for production of ${\eta }^{\prime }2\pi$ are given. The corresponding estimations for decays $\tau \to \eta ({\eta }^{\prime })2\pi \nu$ are given in Appendix.

Estimations for decays $\tau \to \eta ({\eta }^{\prime })2\pi \nu$ widths are added

References in corpus (5)

• Resonance Chiral Lagrangian analysis of ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays
• The decays ${\rho }^{-}\to \eta {\pi }^{-}$ and ${\tau }^{-}\to \eta ({\eta }^{\prime }){\pi }^{-}\nu$ in the NJL model
• Three pseudoscalar meson production in $e^{+}{e}^{-}$ annihilation
• Production of $\omega {\pi }^0$ pair in electron-positron annihilation
• Processes of $e^{+}{e}^{-}\to (\eta ,{\eta }^{\prime },\eta (1295),\eta (1475))\gamma$ in the extended Nambu -- Jona-Lasinio model

Cited by in corpus (12)

• Study of the process $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\eta$ using initial state radiation
• Towards an improved understanding of $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$
• Measurement of the Born cross sections for $e^{+}{e}^{-}\to {\eta }^{\prime }{\pi }^{+}{\pi }^{-}$ at center-of-mass energies between $2.00$ and $3.08$ GeV
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• The decay $\tau \to f_1\pi {\nu }_{\tau }$ in the Nambu--Jona-Lasinio model
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• The decay $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu-Jona-Lasinio model
• Production of $\rho (770)$, $\eta$ pairs in the decays $\rho (1450)\to \rho (770)\eta$, $\tau \to \rho (770)\eta {\nu }_{\tau }$, and in the process of $e^{+}{e}^{-}\to \rho (770)\eta$ in the Extended Nambu - Jona-Lasinio model
• Radially Excited Axial-Vector Mesons in the extended Nambu--Jona-Lasinio model
• 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
• The decays $\tau \to {\nu }_{\tau }(K^{\ast }(892),K^{\ast }(1410),K_1(1270),K_1(1650),a_1(1260),a_1(1640))$ in the Extended Nambu-Jona-Lasinio Model
• The polarization effects of the process $\tau \to K^{-}{\pi }^0{\nu }_{\tau }$ in the Nambu--Jona-Lasinio model