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

Abstract

We study the multi-skyrmion states using a Skyrme model with false vacuum potential up to
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. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.