Low energy process $e^{+}e^{-} \rightarrow K^{+} K^{-}$ in the extended Nambu-Jona-Lasinio model

TL;DR

This paper models low-energy electron-positron collisions producing charged kaon pairs using an extended Nambu-Jona-Lasinio framework, incorporating intermediate photon and vector meson states, and compares results with recent experimental data.

Contribution

It introduces an extended NJL model approach to describe $e^{+}e^{-} ightarrow K^{+}K^{-}$ processes, including excited vector meson states and contact terms.

Findings

Model results agree with recent experimental data.

Inclusion of excited vector mesons improves accuracy.

Contact terms are significant in the process description.

Abstract

In the extended Nambu-Jona-Lasinio model, the process of production of charged kaon pair on colliding electron-positron beams in the energy interval 1 - 1.7 GeV is described. In studying of this process, we take into account the contact terms when the pairs $K^{+}$ $K^{-}$ are generated by an intermediate photon, and processes with intermediate vector mesons $\rho$, $\omega$ and $\phi$ in the ground and in the first radially excited states. The results obtained here are compared with experimental data recently received in Novosibirsk and in Stanford.