Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-02-24
Phys.Rev. C70 (2004) 035202
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 3 figures. Added clarification on running mass following referee observations, added few references and corrected kno
Scientific paper
10.1103/PhysRevC.70.035202
Meson spin splittings are examined within an effective Coulomb gauge QCD Hamiltonian incorporating chiral symmetry and a transverse hyperfine interaction necessary for heavy quarks. For light and heavy quarkonium systems the pseudoscalar-vector meson spectrum is generated by approximate BCS-RPA diagonalizations. This relativistic formulation includes both S and D waves for the vector mesons which generates a set of coupled integral equations. A smooth transition from the heavy to the light quark regime is found with chiral symmetry dominating the pi-rho mass difference. A reasonable description of the observed meson spin splittings and chiral quantities, such as the quark condensate and the pi mass, is obtained. Similar comparisons with TDA diagonalizations, which violate chiral symmetry, are deficient for light pseudoscalar mesons indicating the need to simultaneously include both chiral symmetry and a hyperfine interaction. The eta_b mass is predicted to be around 9400 MeV consistent with other theoretical expectations and above the unconfirmed 9300 MeV candidate. Finally, for comparison with lattice results, the J reliability parameter is also evaluated.
Cotanch Stephen R.
Llanes-Estrada Felipe J.
Swanson Eric S.
Szczepaniak Adam P.
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