Meson energies and the dual superconducting QCD potential
Baker, Ball and Zachariasen (BBZ) have derived an effective quark-antiquark potential from the dual QCD Lagrangian by eliminating the gluon fields and the Higgs field in favor of quark variables for heavy slow-moving quarks. Their potential includes a central part, a spin-orbit part, a spin-spin part, and a velocity-dependent, spin-independent part. Their original tests of the potential were carried out in charmonium and the upsilon system, where the Schroedinger equation may be used for the eigenvalue calculations. A new procedure for solving the spinless Salpeter equation, which is based on the Rayleigh-Ritz-Galerkin method, is used to determine the energy eigenvalues for the B and the D mesons. First order perturbation theory is used to consider the effects of the velocity-dependent spin-independent part. The Yukawa parts of the potential are treated with a matrix approach that exploits analytic expressions for the matrix elements of the linear potential and the Coulomb potential. The results are compared with spin averages of the measured energies.
- OSTI ID:
- 375045
- Report Number(s):
- CONF-9304297-; ISSN 0003-0503; TRN: 96:004080-0437
- Journal Information:
- Bulletin of the American Physical Society, Vol. 40, Issue 2; Conference: 1993 joint meeting of the American Physical Society and the American Association of Physics Teachers, Washington, DC (United States), 12-15 Apr 1993; Other Information: PBD: Apr 1995
- Country of Publication:
- United States
- Language:
- English
Similar Records
Flavor independence and the dual superconducting model of QCD
Spinless Salpeter equation and the Cornell potential in heavy quarkonium systems