Production of $\omega {\pi }^0$ pair in electron-positron annihilation

Abstract

The process of electron-positron annihilation into a pair of ${\pi }^0$ and $\omega$ mesons is considered in the framework of the SU(2)$\times$SU(2) Nambu--Jona-Lasinio model. Contributions of intermediate photons, $\rho (770)$ and ${\rho }^{\prime }(1450)$ vector mesons are taken into account. It is shown that the bulk of the cross section at energies below 2 GeV is provided by the process with intermediate ${\rho }^{\prime }(1450)$ state. The contribution due to single photon and $\rho (770)$ exchange is in agreement with the vector meson dominance model. Numerical results are compared with experimental data.

A mistake is corrected, results are updated; 5 pages

References in corpus (3)

• Study of the process e+e- -> omega pi0 in the phi-meson mass region with the KLOE detector
• The decay ϕ-> f_0(980) γand the process e^+e^- -> ϕf_0(980)
• Radiative decays of radially excited mesons ${{\pi }^0}^{\prime }$, ${{\rho }^0}^{\prime }$, ${\omega }^{\prime }$ in NJL model