Radiative decays of pseudoscalar (P) and vector (V) mesons and the process e^+e^- \to η' ρ

Abstract

Radiative decays of pseudoscalar and vector mesons are calculated in the framework of the chiral Nambu-Jona-Lasinio (NJL) model. We use the amplitude for triangle quark loops of anomalous type. In evaluating these loop integrals we use two methods. In the first one, we neglect the dependence of external momenta by reproducing the Wess-Zumino-Witten terms of effective chiral meson Lagrangian. In the second method, we take into account the momentum dependence of loop integrals omitting their imaginary part. This makes it possible to allow for quark confinement. As applied both the methods is in qualitative agreement with each other and with experimental data. The second method allows us to describe the electron-positron annihilation with production of ${\eta }^{\prime }$ and $\rho$ mesons in the center of mass energy range from 1.6 to 3.5$\GeV$. The comparison with the recent experimental data is presented.

7 pages, 4 figures, 1 table

References in corpus (13)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Field correlators in QCD. Theory and applications
• Phenomenological Evidence for the Gluon Content of $\eta$ and ${\eta }^{\prime }$
• Study of the eta-eta' system in the two mixing angle scheme
• Meson properties in an extended nonlocal NJL model
• On the gluon content of the eta and eta' mesons
• Massive Spin-1 Field Chiral Lagrangian from an Extended Nambu-Jona-Lasinio Model of QCD
• Measurement of Gamma(phi -> eta' gamma)/Gamma(phi -> eta gamma) and the pseudoscalar mixing angle
• Phenomenological evidence for the energy dependence of the $\eta -{\eta }^{\prime }$ mixing angle
• Scalar mesons in the Nambu--Jona-Lasinio model with 't Hooft interaction
• NJL model derived from QCD
• The decay ϕ-> f_0(980) γand the process e^+e^- -> ϕf_0(980)