QCD Coulomb gauge approach to hybrid mesons

Abstract

An effective Coulomb gauge Hamiltonian, H_eff, is used to calculate the light (u-ubar-g), strange (s-sbar-g) and charmed (c-cbar-g) hybrid meson spectra. For the same two parameter H_eff providing glueball masses consistent with lattice results and a good description of the observed u,d,s and c quark mesons, a large-scale variational treatment predicts the lightest hybrid has J^{PC}=0^{++} and mass 2100 MeV. The lightest exotic 1^{-+} state is just above 2200 MeV, near the upper limit of lattice and Flux Tube predictions. These theoretical formulations all indicate the observed 1^{-+} pi_1(1600) and, more clearly, pi_1(1400) are not hybrid states. The Coulomb gauge approach further predicts that in the strange and charmed sectors, respectively, the ground state hybrids have 1^{+-} with masses 2125 and 3830 MeV, while the first exotic 1^{-+} states are at 2395 and 4020 MeV. Finally, using our hybrid wavefunctions, dimensional counting rules and the Franck-Condon principle, novel experimental signatures are presented to assist light and heavy hybrid meson searches.

arXiv comment13 pages, 10 figures. Two figures corrected

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• Heavy quarkonium hybrids from Coulomb gauge QCD
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• Dynamical generation and dynamical reconstruction
• Finding the $0^{--}$ Glueball
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• Charmonium meson and hybrid radiative transitions
• Measurement of Y(5S) decays to B^0 and B^+ mesons
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• Exotic $J^{PC}=1^{-+}$ mesons in a holographic model of QCD
• Investigation of the light four-quark states with exotic $J^{PC}=0^{--}$
• Glueball phenomenology and the relativistic flux tube model
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above
• Towers of hybrid mesons
• Heavy Quark Fluorescence
• Analysis of rescattering effects in $3\pi$ final states
• Meson and tetra-quark mixing
• Mixing and $m_q$ dependence of axial vector mesons in the Coulomb gauge QCD model
• Nonperturbative approach to the parton model
• Quasi-exotic open-flavor mesons
• Gluon Excitations and Quark Chiral Symmetry in the Meson Spectrum: an Einbein Solution to the Large Degeneracy Problem of Light Mesons
• Hybrid meson masses and the correlated Gaussian basis
• Gluelump model with transverse constituent gluons
• Mass spectra of $0^{--}$ and $0^{+-}$ hidden-heavy baryoniums
• QCD string in excited heavy-light mesons and heavy-quark hybrids
• KKbar molecules with momentum-dependent interactions
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• Hints of the $J^{PC}=0^{--}$ and $1^{--}$ $K^{\ast }{\bar{K}}_1(1270)$ Molecules in the $J/\psi \to \varphi \eta {\eta }^{\prime }$ Decay
• The lightest flavor--singlet qqq baryons as witnesses to color
• Test for exotic isoscalar resonance dominating $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$ decays
• Unified Hamiltonian model for mesons and baryons