The effect of quark mass and alpha-alpha term on (q)over-barq condensationin QCD vacuum

Beginning with the QCD Lagrangian in the global color symmetry model, we ha ve derived a Hamiltonian including the lowest order current-current couplin g. Taking instantaneous quadratic interaction kernel and using the Bogoliub ov-Valatin transformation, we have got an effective Hamiltonian for computa tion. This Hamiltonian is similar to that introduced by Le Yaouanc et al., except that the alpha-alpha term has been considered here. We calculated th e (q) over barq condensation in the BCS type of vacuum with quark mass and alpha-alpha term included. Our calculation shows that the value of (q) over barq condensation has increased by at least 10% with the alpha-alpha term included.