Light Hybrid Meson Mixing and Phenomenology

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.

16 pages, 7 figures

References in corpus (10)

• Excited and exotic charmonium spectroscopy from lattice QCD
• Hybrid Mesons
• Spin-dependent potentials from lattice QCD
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Dynamic Properties of Charmonium
• Heavy quarkonium hybrids from Coulomb gauge QCD
• Observation of an isoscalar resonance with exotic $J^{PC}=1^{-+}$ quantum numbers in $J/\psi \to \gamma \eta {\eta }^{\prime }$
• Observation of a resonant structure in $e^{+}{e}^{-}\to \omega \eta$ and another in $e^{+}{e}^{-}\to \omega {\pi }^0$ at center-of-mass energies between 2.00 and 3.08 GeV
• Energy spectrum of the low-lying gluon excitations in the Coulomb gauge
• Heavy Hybrid Decays in a Constituent Gluon Model

Cited by in corpus (8)

• Constructing the $J^{P(C)}=1^{-(+)}$ light flavor hybrid nonet with the newly observed ${\eta }_1(1855)$
• Fragmentation functions for axial-vector heavy tetraquarks: A TQ4Q1.1 update
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Mixing angle of $K_1(1270/1400)$ and the $K{\bar{K}}_1(1400)$ molecular interpretation of ${\eta }_1(1855)$
• Investigating hybrid mesons with $0^{+-}$ and $2^{+-}$ exotic quantum numbers
• Decay properties of light $1^{-+}$ hybrids
• Systematic study of exotic $1^{-+}$ tetraquark spectroscopy
• Strong Decays of the Light Exotic $0^{+-}$ and $2^{+-}$ Hybrid Mesons