(Field) Symmetrization Selection Rules

TL;DR

This paper proves that certain exotic hybrid meson decay amplitudes in QCD are dominated by OZI rule violating contributions and are subleading in the large N_c expansion, highlighting specific selection rules.

Contribution

It establishes symmetrization selection rules for exotic hybrid meson decays in QCD, showing their dependence on OZI rule violations and large N_c behavior.

Findings

QCD amplitudes for exotic hybrid mesons to eta pi0 are OZI rule violating

Such decay amplitudes are subleading in the large N_c expansion

The paper proves specific symmetrization selection rules for these processes

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.