2005/05/23 by T. Melde, W. Plessas, R. F. Wagenbrunn · 29 citations
Physics and Astronomy · #Baryon #Boson #Constituent quark #Covariant transformation #Gluon #Goldstone boson #High-Energy Particle Collisions Research #Hyperon #Mathematical physics #Operator (biology) #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quark #Quark model #Quarkonium #hep-ph
paper · pdf · doi:10.1103/physrevc.72.015207
published in Physical Review C 72(1) (American Institute of Physics) · 10 pages, 2 figures, accepted for publication in Phys. Rev. C
arxiv created 2005/05/23 · openalex publication_date 2005/07/21 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/21
We present covariant predictions for \ensuremathπ and \ensuremathη decay modes of N and \ensuremathΔ resonances from relativistic constituent-quark models based on one-gluon-exchange and Goldstone-boson-exchange dynamics. The results are calculated within the point-form approach to Poincar'e-invariant relativistic quantum mechanics applying a spectator-model decay operator. The direct predictions of the constituent-quark models for covariant \ensuremathπ and \ensuremathη decay widths show a behavior completely different from previous ones calculated in nonrelativistic or so-called semirelativistic approaches. The present theoretical results agree with experiment only in a few cases but otherwise always remain smaller than the experimental data (as compiled by the Particle Data Group). Possible reasons for this behavior are discussed with regard to the quality of both the quark-model wave functions and the mesonic decay operator.