Effective Lagrangian induced by the anomalous Wess-Zumino action and the exotic resonance state with $I^G(J^{PC})=1^{-}(1^{-+})$ in the $\rho \pi$, $\eta \pi$, ${\eta }^{\prime }\pi$, and $K^{\ast }\bar{K}+{\bar{K}}^{\ast }K$ channels

Abstract

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 $\rho \pi$, $\eta \pi$, ${\eta }^{\prime }\pi$, and $K^{\ast }\bar{K}+{\bar{K}}^{\ast }K$. The possibility of the resonancelike behavior of the $I^G(J^{PC})=1^{-}(1^{-+})$ amplitudes belonging to the $\{10\}-\{\overline{10}\}$ 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.

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

References in corpus (4)

• The hadronic off-shell width of meson resonances
• Flux Tube Zero-Point Motion, Hadronic Charge Radii, and Hybrid Meson Production Cross Sections
• Photoproduction of Hybrid Mesons
• Gluonic Excitations' Millennial Finale

Cited by in corpus (4)

• Study of the $\eta \pi$ and ${\eta }^{\prime }\pi$ spectra and interpetation of possible exotic $J^{PC}=1^{-+}$ mesons
• Shape of the $f_0(980)$ in $\gamma \gamma \to {\pi }^{+}{\pi }^{-}$
• Molecular States and 1^-+ Exotic Mesons
• (Field) Symmetrization Selection Rules