Effective Lagrangian induced by the anomalous Wess-Zumino action and the exotic resonance state with $I^G(J^{PC})=1^-(1^{-+})$ in the $ρπ$, $ηπ$, $η'π$, and $K^*\bar K+\bar K^*K$ channels

Details Effective Lagrangian induced by the anomalous Wess-Zumino action and the exotic resonance state with $I^G(J^{PC})=1^-(1^{-+})$ in the $ρπ$, $ηπ$, $η'π$, and $K^*\bar K+\bar K^*K$ channels Effective Lagrangian induced by the anomalous Wess-Zumino action and the exotic resonance state with $I^G(J^{PC})=1^-(1^{-+})$ in the $ρπ$, $ηπ$, $η'π$, and $K^*\bar K+\bar K^*K$ channels

2000-05-17

arxiv.org/abs/hep-ph/0005161v2

Phys.Rev. D63 (2001) 014017

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 17 pages including 4 figures, version published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.63.014017

A simple model for the exotic waves with $I^G(J^{PC})=1^-(1^{-+})$ in the reactions $VP\to VP$, $VP\to PP$, and $PP\to PP$ is constructed beyond the scope of the quark-gluon approach. The model satisfies unitarity and analyticity and uses as a "priming" the "anomalous" nondiagonal $VPPP$ interaction which couples together the four channels $\rho\pi$, $\eta\pi$, $\eta'\pi$, and $K^*\bar K+\bar K^*K$. The possibility of the resonancelike behavior of the $I^G(J^{PC})=1^-(1^{-+})$ amplitudes belonging to the $\{10\}- \{\bar{10}\}$ and $\{8\}$ representations of SU(3) as well as their mixing is demonstrated explicitly in the $1.3-1.6$ GeV mass range which, according to the current experimental evidence, is really rich in exotics.

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