  We study the multi-skyrmion states using a Skyrme model with false vacuum
potential upto baryon number $B=8$ using the product ansatz. It is found that,
both the false vacuum potential and true vacuum potential can yield cluster
structure of the multi-skyrmion states. The effect of the explicit chiral
breaking on the masses and the contour surfaces of the baryon number density of
the multi-skyrmion states are analyzed.
