Vector Meson Dominance and Rho-Omega Mixing

Abstract

The scale of a phenomenologically successful charge-symmetry-violating nucleon-nucleon interaction, that attributed to meson exchange with a $\Delta I=1$ rho-omega transition, is set by the Coleman-Glashow SU(2) breaking tadpole mechanism. A single tadpole scale has been obtained from symmetry arguments, electromagnetic meson and baryon measured mass splittings, and the observed isospin violating ($\Delta I=1$) decay $\omega \to {\pi }^{+}{\pi }^{-}$. The hadronic realization of this tadpole mechanism lies in the $I=1$ $a_0$ scalar meson. We show that measured hadronic and two-photon widths of the $a_0$ meson, with the aid of the Vector Meson Dominance model, recover the universal Coleman-Glashow tadpole scale.

18 pages, 2 figures, to appear in Physical Review C

References in corpus (5)

• K-matrix analysis of the K-pi S-wave in the mass region 900-2100 Mev and nonet classification of scalar qqbar-states
• Mixing of eta-eta' Mesons in J/psi Decays into a Vector and a Pseudoscalar Meson
• Rho-Omega Mixing and the Pion Form Factor in the Time-like Region
• Extracting the rho-omega mixing amplitude from the pion form-factor
• Scalar meson masses and mixing angle in a U(3)XU(3) Linear Sigma Model

Cited by in corpus (2)

• The pionic width of the $\omega (782)$ meson within a well-defined, unitary quantum field theory of (anti-)particles and (anti-)holes
• The u-d quark mass difference and nuclear charge symmetry breaking