  We model four-dimensional junctions made out of intersections of co-dimension
one brane living in higher-dimensional spacetimes through domain walls. We take
a new look at the problem of localizing fermion states on brane junctions as a
result of intersecting one thick brane to others sufficiently thin. All the
branes intersect orthogonally to form a four-dimensional junction embedded in a
higher-dimensional bulk. We discuss the effects of the Yukawa coupling and the
proton decay on the restriction of the parameters that control the junction
stability and the brane thickness which also define the bulk cosmological
constant.
