2007/09/30 by Satoru Akiyama, Masahiro Kawabata
Mathematics · Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Chiral symmetry breaking #Flavor #Geometry #Mathematics #Mixing (physics) #Multiplet #Nonlinear system #Octet #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Rotation (mathematics) #Skyrmion #Soliton #Space (punctuation) #Symmetry (geometry) #Symmetry breaking #hep-ph
paper · pdf · doi:10.1103/physrevd.76.096002
published as Phys.Rev.D76:096002,2007 · 29 pages, 9 figures, references added, typos fixed
openalex publication_date 2007/11/02 · arxiv created 2007/11/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The profile functions of the SU(3) Skyrme soliton are investigated for the octet, decuplet, and antidecuplet baryons by the mean field approach. In this approach, the profile functions are affected by the spatial rotation, the flavor rotation, and the flavor symmetry breaking. The solitons are stable only in the restricted areas of the parameter space for each multiplet. When the flavor symmetry breaking is large, the area for the antidecuplet is narrow compared to those for the octet and decuplet. The parameters are determined by the baryon mass spectrum, and the deformation of the soliton has sizable effects on the masses.