Quantization of skyrmions using instantons
Josh Cork (School of Computing and Mathematical Sciences, University of Leicester, University Road, Leicester LE1 7RH, United Kingdom); Chris Halcrow (Department of Physics, KTH-Royal Institute of Technology, Stockholm SE-10691, Sweden)
We provide a step-by-step method to construct skyrmions from instanton ADHM data, including when the exact ADHM data is unknown. The configurations look like clusters of smaller skyrmions, and can be used to build manifolds of skyrmions with or without symmetries. Nuclei are described by quantum states on these manifolds. We describe the construction and quantization procedure generally, then apply the methods in detail to the 8-skyrmion which describes the Beryllium-8 nucleus.