2003/12/31 by Thomas D. Cohen · 2 citations
Mathematics · Physics and Astronomy · #Baryon #High-Energy Particle Collisions Research #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantization (signal processing) #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Statistics #Strangeness #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.70.014011
published as Phys.Rev. D70 (2004) 014011 · 19 pages; A shorter more readable version
arxiv created 2004/02/26 · openalex publication_date 2004/07/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A light collective \ensuremathθ+ baryon state (with strangeness +1) was predicted via rigid-rotor collective quantization of SU(3) chiral soliton models. This paper explores the validity of this treatment. A number of rather general analyses suggest that predictions of exotic baryon properties based on this approximation do not follow from large Nc QCD. These include an analysis of the baryon's width, a comparison of the predictions with general large Nc consistency conditions of the Gervais-Sakita-Dashen-Manohar type; an application of the technique to QCD in the limit where the quarks are heavy; a comparison of this method with the vibration approach of Callan and Klebanov; and the 1/Nc scaling of the excitation energy. It is suggested that the origin of the problem lies in an implicit assumption in the that the collective motion is orthogonal to vibrational motion. While true for non-exotic motion, the Wess-Zumino term induces mixing at leading order between collective and vibrational motion with exotic quantum numbers. This suggests that successful phenomenological predictions of \ensuremathθ+ properties based on rigid-rotor quantization were accidental.