Quark-mass dependence of baryon resonances

2004/01/16 by M. F. M. Lutz, Matthias F. M. Lutz, C. García-Recio +3 · 2 citations
Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Bound state #Constituent quark #Excited state #Lagrangian #Limit (mathematics) #Mathematical physics #Nuclear physics #Octet #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Quark model #Resonance (particle physics) #Singlet state #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2005.01.037

published in Nuclear Physics A 754, 212-220 (Elsevier BV) · 8 pages, three figures, talk presented at HYP2003

arxiv created 2004/01/16 · openalex publication_date 2005/02/26 · arxiv updated 2010/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the quark-mass dependence of J^P = \frac12^- s-wave and J^P = \frac32^- d-wave baryon resonances. Parameter-free results are obtained in terms of the leading order chiral Lagrangian. In the 'heavy' SU(3) limit with m_π=m_K ≃ 500 MeV the s-wave resonances turn into bound states forming two octets plus a singlet representations of the SU(3) group. Similarly the d-wave resonances turn into bound states forming an octet and a decuplet in this limit. A contrasted result is obtained in the 'light' SU(3) limit with m_π=m_K ≃ 140 MeV for which no resonances exist.

Citations

• On charm baryon resonances and chiral symmetry
• On meson resonances and chiral symmetry
• Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering
• Review of particle properties
• Review of Particle Physics