Abstract
Utilizing an effective QCD Coulomb gauge Hamiltonian with linear confinement specified by lattice, we report a relativistic many-body calculation for the light exotic and charmed hybrid mesons. The Hamiltonian successfully describes both quark and gluon sectors, with vacuum and quasiparticle properties generated by a BCS transformation and more elaborate TDA and RPA diagonalizations for the meson ( q q ̄ ) and glueball ( gg) masses. Hybrids entail a computationally intense relativistic three quasiparticle ( q q ̄ g ) calculation with the 9-dimensional Hamiltonian matrix elements evaluated variationally by Monte Carlo techniques. Our new TDA (RPA) spectrum for the nonexotic 1 −− charmed ( c c ̄ and c c ̄ g ) system provides an explanation for the overpopulation of the observed J/ ψ states. For the important 1 −+ light exotic channel we obtain hybrid masses above 2 GeV, in broad agreement with lattice and flux tube models, indicating that the recently observed resonances at 1.4 and 1.6 GeV are of different, perhaps four quark, structure.
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