Miscellanies of $ K^0 - \bar{K}^0 $ mixing and $ B_K $

We have computed $B_K$, using two different methods with staggered fermions on a $16^3 \times 40$ lattice at $\beta = 5.7$ with two dynamical flavors of a mass 0.01. % Using an improved wall source method, we have studied a series of non-degenerate quark antiquark pairs and observed no effect on $B_K$, although effects were seen on the individual terms making up $B_K$.