Electromagnetic interactions of mesons induced by the axial-vector -- pseudoscalar mixings

Abstract

It is shown that the diagonalization of the axial-vector -- pseudoscalar transitions in the effective meson Lagrangian in presence of electromagnetic interactions leads to a deviation from the vector meson dominance picture which usually arises in the Nambu - Jona-Lasinio model. The essential features of such modification of the theory are studied. Some important examples are considered in detail.

arXiv comment9 pages, 4 figures

References in corpus (5)

• When radiative corrections are finite but undetermined
• Pion form factor in the Kroll-Lee-Zumino model
• A general framework to diagonalize vector--scalar and axial-vector--pseudoscalar transitions in the effective meson Lagrangian
• Decay rates $f_1(1285)\to {\rho }^0{\pi }^{+}{\pi }^{-}$ and $a_1(1260)\to \omega {\pi }^{+}{\pi }^{-}$ in the Nambu -- Jona-Lasinio model
• Anomalous decay $f_1(1285)\to {\pi }^{+}{\pi }^{-}\gamma$ in the Nambu - Jona-Lasinio model

Cited by in corpus (4)

• Low-energy theorem for $\gamma \to 3\pi$: surface terms against $\pi a_1$-mixing
• Hadronic electroweak current and $\pi -a_1$ mixing
• Account for axial vector mesons in the $\eta \to {\pi }^{+}{\pi }^{-}\gamma$ and ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$ decays
• Gauge covariant approach to the electroweak interactions of mesons in the Nambu-Jona-Lasinio model with spin-1 states