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arXiv · hep-ph/9907263

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

M. Schumann·R. J. Lindebaum·R. D. Viollier
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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 $N$, $Δ$, $Ω$, and $ρ$ 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 $π$ and $η$, while the $ρ$ and $ω$ remain degenerate. Diagonalizing the $η- η'$ subspace Hamiltonian yields a very good value for the mass of the $η$ meson.

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M. Schumann, R. J. Lindebaum, R. D. Viollier. 2000-04-11. Hadron masses in cavity quantum chromodynamics to order $α_s^2$. https://doi.org/10.1007/s100520050025

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