Publication: Mesons and hybrids in a relativistic many body theory
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Publication Date
2000
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Cotanch, Stephen R.
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American Institute of Physics
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Abstract
Using a field theoretical, QCD inspired Hamiltonian formulated in the Coulomb gauge, relativistic many-body calculations are reported which reproduce the semiquantitative features of the observed meson and lattice glueball spectrums. Dynamical chiral symmetry breaking is achieved utilizing a BCS vacuum ansatz, yielding gap equations and realistic quark (and gluon) constituent masses and condensates. The excited hadron states are obtained by diagonalizing the effective Hamiltonian in a truncated Fock space using both the TDA and RPA. The meson spectrum, for a variety of spin and parities, is reasonably well described. In general, the two approaches differ minimally, except for the TT and 77 where only the RPA yields correct properties and a Goldstone boson in the chiral limit. Our unified model also describes hybrids and a three-body TDA calculation predicts exotic and non-exotic hybrid states all above 2 GeV. Our results are consistent with lattice and flux tube hybrid masses, suggesting that the recently observed 1~+ exotics below 2 GeV have an alternative, perhaps four quark, structure.
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© 2000 American Institute of Physics.
This work is supported by grants DOE DE-FG02-97ER41048 and NSF INT- 9807009. Supercomputer time is provided by NERSC.
Conference on Intersections of Particle and Nuclear Physics (7.2000.Quebec, Canada)
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2. F. J. Llanes-Estrada and S. R. Cotanch, Phys. Rev. Lett. 84, 1102 (2000) and references therein.
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4. C. McNeile, hep-lat/9904013 (1999).