Improved meson mass spectrum calculation in the static cavity

Abstract

Large-basis O(g) meson wavefunctions, containing both connected and disconnected states, are constructed in the static cavity model of effective QCD dynamics. The model is characterised by four parameters: the effective quark-gluon coupling constant, the confinement pressure, the zero-point energy and a parameter governing the centre-of-mass corrections. These parameters are fitted to the pi and rho masses and the charge radii of pi and K. Regularisation of the one-loop contributions to quantities calculated from these wavefunctions is achieved by first taking the basis size, NB, as the truncation parameter and redefining the model parameters so that they acquire a non-trivial NB dependence ..