2018 Impact factor 4.843
Particles and Fields
Eur. Phys. J. C 16, 331-336
DOI 10.1007/s100520000418

Hadron masses in cavity quantum chromodynamics to order $\alpha_{\rm s}^2$

M. Schumann - R.J. Lindebaum - R.D. Viollier

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, $\Delta$, $\Omega$, 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.

Copyright Società Italiana di Fisica, Springer-Verlag 2000