English

Quantization of skyrmions using instantons

High Energy Physics - Theory 2024-08-08 v2

Abstract

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.

Cite

@article{arxiv.2403.17080,
  title  = {Quantization of skyrmions using instantons},
  author = {Josh Cork and Chris Halcrow},
  journal= {arXiv preprint arXiv:2403.17080},
  year   = {2024}
}

Comments

1+29 pages, 6 figures; energy states corrected and further comparison to other nuclear models included; matches journal version

R2 v1 2026-06-28T15:33:13.107Z