Hadron masses in cavity quantum chromodynamics to order $α_s^2$

Details Hadron masses in cavity quantum chromodynamics to order $α_s^2$ Hadron masses in cavity quantum chromodynamics to order $α_s^2$

1999-07-07

arxiv.org/abs/hep-ph/9907263v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, 2 figures

Scientific paper

10.1007/s100520050025

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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