QCD Coulomb gauge approach to q qbar g hybrid mesons

I. J. GENERAL; F. J. LLANES-ESTRADA; S. R. COTANCH

EUROPEAN PHYSICAL JOURNAL C - PARTICLES AND FIELDS

SPRINGER

Lugar: Berlin; Año: 2007 p. 347 - 358

1434-6044

An effective Coulomb gauge Hamiltonian, Heff , is used to calculate the light (u ubar g), strange (s sbar g)and charmed (c cbar g) hybrid meson spectra. For the same two parameter Heff providing glueball masses consistent with lattice results and a good description of the observed u, d, s and c quark mesons, a large-scalevariational treatment predicts that the lightest hybrid has J P C = 0++ and mass 2.1 GeV. The lightest exotic1−+ state is just above 2.2 GeV, near the upper limit of lattice and flux tube predictions. These theoreticalformulations all indicate that the observed 1−+ π1 (1600) and, more clearly, π1 (1400) are not hybrid states.The Coulomb gauge approach further predicts that in the strange and charmed sectors, respectively, theground state hybrids have 1+− with masses 2.1 and 3.8 GeV, while the first exotic 1−+ states are at 2.4 and4.0 GeV. Finally, using our hybrid wavefunctions and the Franck–Condon principle, a novel experimentalsignature is presented to assist heavy hybrid meson searches.