Many-body Coulomb gauge exotic and charmed hybrids

Utilizing an effective QCD Coulomb gauge Hamiltonian with linear confinemen t specified by lattice, we report a relativistic many-body calculation for the light exotic and charmed hybrid mesons. The Hamiltonian successfully de scribes both quark and gluon sectors, with vacuum and quasiparticle propert ies generated by a BCS transformation and more elaborate TDA and RPA diagon alizations for the meson (q (q) over bar) and glueball (gg) masses. Hybrids entail a computationally intense relativistic three quasiparticle (q (q) o ver barg) calculation with the 9-dimensional Hamiltonian matrix elements ev aluated variationally by Monte Carlo techniques. Our new TDA (RPA) spectrum for the nonexotic 1(--) charmed (c (c) over bar and c (c) over barg) syste m provides an explanation for the overpopulation of the observed J/psi stat es. For the important 1(-+) light exotic channel we obtain hybrid masses ab ove 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. (C) 2001 Published by Elsevier Science B.V.