Current-quark model in aP03condensed vacuum

In this work we assume that quarks are described by Dirac spinors, with current masses which eventually can be set to zero, interacting through a confining and chirally invariant potential. Other than the strength of the interquark potential and the current masses of the quarks we have no free parameters. ${}_{}{}^3{}_{}{}^{}P_0^{}{}_{}{}^{}$ quark-antiquark vacuum condensation is allowed and the mass gap equation is solved for the chosen potential. The solution, and even the mere existence of it, depends quite sharply on the chosen potentials. Vacuum condensation is shown to be responsible for partial conservation of axial-vector current and for the constituent scale. The mass gap equation also ensures us that quark annihilation is obtained in a consistent way. In our formalism quarks and antiquarks appear explicitly, which greatly simplifies the derivation of both the Salpeter equations for meson bound states and the resonating-group-method equations for meson decays and scattering.