The processes $e^{+}e^{-} \rightarrow K^{\pm} (K^{*\mp}(892), K^{*\mp}(1410))$ and $e^{+}e^{-} \rightarrow (\eta, \eta^{'}(958)) (\phi(1020), \phi(1680))$ in the extended Nambu-Jona-Lasinio model

TL;DR

This paper calculates specific electron-positron annihilation processes involving mesons using the extended Nambu-Jona-Lasinio model, achieving good agreement with experimental data and providing new predictions for related reactions.

Contribution

It applies the extended Nambu-Jona-Lasinio model to compute cross sections of meson production in electron-positron collisions, including excited states and making novel predictions.

Findings

Results agree with experimental data for certain processes.

Predictions made for unmeasured cross sections of other reactions.

Intermediate vector mesons and their excitations are effectively modeled.

Abstract

The processes $e^{+}e^{-} \rightarrow K^{\pm} K^{*\mp}(892)$ and $e^{+}e^{-} \rightarrow \eta \phi(1020)$ are calculated in the framework of the extended Nambu-Jona-Lasinio model. The intermediate vector mesons $\rho(770), \omega(782), \phi(1020)$ and their first radially-excited states are taken into account. The obtained results are in satisfactory agreement with the experimental data. The predictions for the cross sections of the reactions $e^{+}e^{-} \rightarrow K^{\pm} K^{*\mp}(1410)$, $e^{+}e^{-} \rightarrow \eta^{'}(958) \phi(1020)$ and $e^{+}e^{-} \rightarrow \eta \phi(1680)$ were made.