2014/02/27 by Pak Hang Chris Lau, P. H. C. Lau, N. S. Manton · 16 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Algorithm #Combinatorics #Graph #Mathematical physics #Mathematics #Nuclear physics research studies #Physics #Quantization (signal processing) #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Semiclassical physics #Skyrmion #Vertex (graph theory) #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.89.125012
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(12) (American Physical Society) · 34 pages, 13 figures
arxiv created 2014/02/27 · openalex publication_date 2014/06/12 · arxiv updated 2014/06/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The geometrical construction of rational maps using a cubic grid has led to many new Skyrmion solutions, with baryon numbers up to 108. Energy spectra of some of the new Skyrmions are calculated here by semiclassical quantization. Quantization of the B=20 Td-symmetric Skyrmion, which is one of the newly found Skyrmions, is considered, and this leads to the development of a new approach to solving Finkelstein--Rubinstein constraints. Matrix equations are simplified by introducing a Cartesian version of angular momentum basis states, and the computations are easier. The quantum states of all Td-symmetric Skyrmions, constructed from the cubic grid, are classified into three classes, depending on the contribution of vertex points of the cubic grid to the rational maps. The analysis is extended to the larger symmetry group Oh. Quantum states of Oh-symmetric Skyrmions, constructed from the cubic grid, form a subset of the Td-symmetric quantum states.