Meson energies and the dual superconducting QCD potential

Journal Article · Sat Apr 01 04:00:00 EST 1995 · Bulletin of the American Physical Society

OSTI ID:375045

Fulcher, L P

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--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 2 Vol. 40; ISSN 0003-0503; ISSN BAPSA6
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
D MESONS
ENERGY LEVELS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUARK-ANTIQUARK INTERACTIONS