Abstract
The process ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}$ is described in the framework of the Nambu--Jona-Lasinio model in the energy region 1--1.7 GeV. The contact terms with intermediate photon and terms with intermediate $\ensuremath{\rho},\phantom{\rule{0.16em}{0ex}}\ensuremath{\omega}$, and $\ensuremath{\phi}$ vector mesons in the ground and first radially excited states are taken into account. Our results are in satisfactory agreement with experimental data recently obtained at VEPP-2000 and SLAC.
Highlights
Great attention has been paid to the experimental study of the production of charged kaon pairs in colliding electron-positron beams in the energy range 1–2 GeV at the Budker Institute of Nuclear Research (Novosibirisk) [1,2,3,4,5] and in SLAC National Accelerator Laboratory (Stanford) [6]
Our results are in satisfactory agreement with experimental data recently obtained at VEPP-2000 and SLAC
We would like to specify the chiral perturbation theory (ChPT) [7,8], since this model is preferable only at lower energies not grafting the mass of the ρ meson
Summary
In addition to the standard NJL model [11,12,13,14,15,16,17,18,19,20] that is used to describe mesons in the ground states and their interactions at low energies, there is an extended version of the NJL model [21,22,23,24,25,26], which allows one to describe the ground states and the first radially excited meson states, without violating the U(3)×U(3) chiral symmetry This is achieved by using the simplest form factors that have the. In the review [27], it is shown that the extended NJL model makes it possible to successfully describe the numerous meson production processes in colliding electron-positron beams and many decay modes of τ lepton
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