Abstract.
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, \(\Delta\), \(\Omega\), and \(\rho\) 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 \(\pi\) and \(\eta\), while the \(\rho\) and \(\omega\) remain degenerate. Diagonalizing the \(\eta - \eta'\) subspace Hamiltonian yields a very good value for the mass of the \(\eta\) meson.
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Received: 28 October 1999 / Revised version: 3 April 2000 / Published online: 8 June 2000
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Schumann, M., Lindebaum, R. & Viollier, R. Hadron masses in cavity quantum chromodynamics to order \(\alpha_{\rm s}^2\) . Eur. Phys. J. C 16, 331–336 (2000). https://doi.org/10.1007/s100520050025
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DOI: https://doi.org/10.1007/s100520050025