FIZIKA B 13 (2004)  1, 27 - 36

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COULOMB GAUGE HAMILTONIAN: ADVANCES AND APPLICATIONS

STEPHEN R. COTANCH

Department of Physics, North Carolina State University, Raleigh, NC 27695-8202, USA
E-mail address: cotanch@ncsu.edu

Received 19 August 2003;        Accepted 26 April 2004
Online 16 July 2004

Theoretical developments and applications of an effective QCD Hamiltonian in the Coulomb gauge are summarized. BCS, TDA and RPA many-body diagonalizations in the quark and gluon sectors are reported for meson and glueball spectra, respectively. The model glueball Regge trajectories are in good agreement with the established pomeron and a recently observed odd signature daughter. Using the pomeron-glueball connection and vector meson dominance, glueball photoproduction cross sections and decays are calculated and a glueball experimental signature is predicted. The pseudoscalar-vector meson mass splittings are also investigated using a hyperfine interaction based upon transverse gluon exchange. An improved meson spectrum is obtained and the dominant role of chiral symmetry in the p-r mass difference is confirmed.

PACS numbers: 11.30.Rd, 12.38.Lg, 12.39.Mk, 12.40.Vv, 12.40.Yx
UDC539.12.1

Keywords: QCD, Coulomb gauge Hamiltonian, hyperfine interaction, chiral symmetry, glueballs, pomeron

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