Quantization of skyrmions using instantons

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.

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

References in corpus (9)

• Skyrmions, instantons and holography
• Light Nuclei of Even Mass Number in the Skyrme Model
• Light Nuclei as Quantized Skyrmions
• A dynamical $\alpha$-cluster model of ${}^{16}$O
• Low-lying non-normal parity states in 8B measured by proton elastic scattering on 7Be
• Quantum binding energies in the Skyrme model
• Rational Skyrmions
• Finkelstein-Rubinstein constraints from ADHM data and rational maps
• Nudged Elastic Bands and Lightly Bound Skyrmions

Cited by in corpus (1)

• Locations of JNR skyrmions