$ρ^0-ω$ mixing in U(3)}$_L\times$ U(3)$_R$ chiral theory of mesons

Details $ρ^0-ω$ mixing in U(3)}$_L\times$ U(3)$_R$ chiral theory of mesons $ρ^0-ω$ mixing in U(3)}$_L\times$ U(3)$_R$ chiral theory of mesons

1998-01-02

arxiv.org/abs/hep-ph/9801210v3

Eur.Phys.J. A3 (1998) 293-298

Physics

High Energy Physics

High Energy Physics - Phenomenology

LateX, 16 pages, no figures, an error is corrected. The final version will be published in EPJA

Scientific paper

10.1007/s100500050180

In this paper, U(3)$_L\times$ U(3)$_R$ chiral theory of mesons is extended to the leading order in quark mass expansion in order to evaluate the $\rho^0-\omega$ mixing. It is shown that the use of path integral method to integrate out the quark fields naturally leads to the $\rho^0-\omega$ mixing vertices, and this mixing is entirely from the quark loop in this theory. The off-shell behaviour of the mixing amplitude is analyzed. The on-shell mixing amplitude is obtained from the decay $\omega\to \pi^+\pi^-$. Furthermore, the constraints on the light quark mass parameters are extracted from the $\rho^0-\omega$ mixing and the mesons masses, and the mass splitting of $K^*(892)$-mesons is predicted.

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