Improved meson mass spectrum calculation in the static cavity

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, N_B, as the truncation parameter and redefining the model parameters so that they acquire a non-trivial N_B dependence which leaves the physical quantities independent of the truncation point. In the ultrarelativistic sector, m_u=m_d=0, quark masses for s, c and b are determined from K, D and B masses respectively. The ground-state meson mass spectrum is calculated and is found to be accurate to about one percent.