| The Coulomb Gauge Hamiltonian (CGH) model, a field theoretical, relativistic, many-body approach to Quantum Chromodynamics (QCD), is developed, which describes the vacuum through a Bogoliubov-Valatin transformation. This transformation also dresses the bare quarks and gluons, producing quasi-particles with constituent masses and quark and gluon condensates. This framework is then applied, using the variational principle, to the hybrid meson and tetra-quark problems, where exotic quantum numbers can be generated; light (uug), strange (ss¯g) and charmed (cc¯g) hybrid meson spectra are calculated and found to agree reasonably well with lattice and Flux Tube predictions. The light tetra-quark spectra is also calculated, along with the charmed tetra-quark structures likely to be the X(3872) and Y(4262) particles. The lowest 1-+ hybrid meson mass is found to be just above 2.2 GeV while the lightest tetraquark state mass with these exotic quantum numbers is predicted around 1.4 GeV. These theoretical formulations all indicate the observed 1 -+ pi1(1600) and, more clearly, pi1(1400) are definitely not hybrid states but could be tetra-quark states, with a molecular type, meson-meson structure. |
