  We investigate the effect of six fermion determinant interaction on color
superconductivity as well as on chiral symmetry breaking. Coupled mass gap
equations and the superconducting gap equation are derived through the
minimisation of the thermodynamic potential. The effect of nonzero quark --
antiquark condensates on the superconducting gap is derived. This becomes
particularly relevant for the case of 2-flavor superconducting matter with
unpaired strange quarks in the diquark channel. While the effect of six fermion
interaction leads to an enhancement of u-d superconductivity, due to
nonvanishing strange quark--antiquark condensates, such an enhancement will be
absent at higher densities for u-s or d-s superconductivity due to early
(almost) vanishing of light quark-- antiquark condensates.
