Hadron masses in cavity quantum chromodynamics to order
Institute of Theoretical Physics and Astrophysics,
University of Cape Town, Rondebosch 7701, South Africa
Received: 28 October 1999 / Revised version: 3 April 2000 / Published online: 8 June 2000 - © Springer-Verlag 2000
The non-divergent diagrams describing two-gluon exchange and annihilation between quarks and antiquarks are calculated in the Feynman gauge, based on quantum chromodynamics in a spherical cavity. Using the experimental N, , , and masses to fit the free parameters of the M.I.T. bag model, the predicted states agree very well with the observed low-lying hadrons. As expected, the two-gluon annihilation graphs lift the degeneracy of the and , while the and remain degenerate. Diagonalizing the subspace Hamiltonian yields a very good value for the mass of the meson.
Copyright Società Italiana di Fisica, Springer-Verlag 2000