Quantized Skyrmions from SU(4) Weight Diagrams
C. J. Halcrow, N. S. Manton, J. I. Rawlinson
TL;DR
This paper constructs new Skyrmion solutions with high baryon numbers using SU(4) weight diagrams, revealing geometric and energetic properties, and compares their quantization results with real nuclei.
Contribution
It introduces a systematic method to generate Skyrmions from SU(4) weight diagrams, extending solutions up to baryon number 85.
Findings
Skyrmions exhibit tetrahedral or octahedral symmetry.
Derived geometric and energetic properties of Skyrmions.
Quantization results show similarities with observed nuclei.
Abstract
Starting from solutions of the lightly-bound Skyrme model, we construct many new Skyrmion solutions of the standard Skyrme model with tetrahedral or octahedral symmetry. These solutions are closely related to weight diagrams of the group SU(4), which enables us to systematically derive some geometric and energetic properties of the Skyrmions, up to baryon number 85. We discuss the rigid body quantization of these Skyrmions, and compare the results with properties of a selection of observed nuclei.
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