Light Hybrid Meson Mixing and Phenomenology

TL;DR

This paper applies a constituent gluodynamics model to hybrid mesons, achieving good agreement with lattice computations on masses and mixing, supporting the model's viability and predicting hybrid states around 2.1-2.3 GeV.

Contribution

It introduces a simple constituent gluodynamics model for hybrid mesons, demonstrating its effectiveness in reproducing lattice results and making new predictions about hybrid state masses and decay constants.

Findings

Hybrid meson masses around 2100-2300 MeV

Isovector vector hybrid decay constant about 20 MeV

Exotic hybrid $1$ near 1760-1900 MeV

Abstract

A simple constituent model of gluodynamics that is motivated by lattice field theory and the QCD Hamiltonian in Coulomb gauge is applied to descriptions of hybrid meson flavor mixing and vector hybrid configuration mixing. Good agreement with lattice gauge computations is obtained for flavor multiplet masses, while mixing angles are in approximate agreement, given large errors. The configuration mixing results are also in rough agreement with lattice NRQCD calculations. Thus the viability of constituent gluon models of hybrid hadrons and glueballs is supported. The results suggest that a flavor multiplet of vector hybrids should appear with masses of approximately 2100, 2200, and 2300 MeV and that the isovector vector hybrid decay constant is about 20 MeV. Similarly, the $\pi_1$ exotic hybrid should have isospin partner states near 1760 and 1900 MeV, and it is suggested that the recently seen $\eta_1$ hybrid signal is the latter state.