Multi-skyrmion states in the Skyrme model with a false vacuum potential

Abstract

We study multi-skyrmion states using the Skyrme model with a false vacuum potential up to baryon number using the product ansatz. It is found that both the false and true vacuum potentials can result in a cluster structure for the multi-skyrmion states. We also analyze the effect of explicit chiral breaking on the masses and contour surfaces of the baryon number density of the multi-skyrmion states.