(Field) Symmetrization Selection Rules

Abstract

QCD and QED exhibit an infinite set of three-point Green's functions that contain only OZI rule violating contributions, and (for QCD) are subleading in the large N_c expansion. The Green's functions describe the ``decay'' of a J^{PC}={1,3,5 ...}^{-+} exotic hybrid meson current to two J=0 (hybrid) meson currents with identical P and C. We prove that the QCD amplitude for a neutral hybrid {1,3,5 ...}^{-+} exotic current to create eta pi0 only comes from OZI rule violating contributions under certain conditions, and is subleading in N_c.

20 pages, LaTeX. Two postscript figures. Final published version

References in corpus (2)

• The decay of the observed $J^{PC}=1^{-+}$ (1400) and $J^{PC}=1^{-+}$(1600) hybrid candidates
• 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

Cited by in corpus (4)

• Decays of an exotic $1^{-+}$ hybrid meson resonance in QCD
• Molecular States and 1^-+ Exotic Mesons
• Selection rules for J^PC Exotic Hybrid Meson Decay in Large-N_c
• Can the Mechanism for ${\pi }_1\to \eta \pi ,{\eta }^{\prime }\pi$ Hybrid Decays be Detected?