On meson resonances and chiral symmetry

2003/07/31 by M. F. M. Lutz, Matthias F. M. Lutz, E. E. Kolomeitsev +1 · 16 citations
Physics and Astronomy · #Amplitude #Boson #Chiral anomaly #Chiral symmetry #Chiral symmetry breaking #Coupling (piping) #Coupling constant #Goldstone boson #Hadron #High-Energy Particle Collisions Research #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quantum number #Resonance (particle physics) #Scattering #Scattering amplitude #Strangeness #Symmetry (geometry) #Symmetry breaking #Vector meson #nucl-th

paper · pdf · doi:10.1016/j.nuclphysa.2003.11.009

published as Nucl.Phys.A730:392-416,2004 · 29 pages, 6 figures, more detailed discussions are given

arxiv created 2003/11/21 · openalex publication_date 2003/12/03 · arxiv updated 2010/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study meson resonances with quantum numbers J^P=1⁺ in terms of the chiral SU(3) Lagrangian. At leading order a parameter-free prediction is obtained for the scattering of Goldstone bosons off vector mesons with J^P=1^- once we insist on approximate crossing symmetry of the unitarized scattering amplitude. A resonance spectrum arises that is remarkably close to the empirical pattern. In particular, we find that the strangeness-zero resonances h₁(1380), f_(1285) and b₁(1235) are formed due to strong K K_μand K K_μchannels. This leads to large coupling constants of those resonances to the latter states.

Citations

• Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering
• Review of particle properties
• Review of Particle Physics
• Review of Particle Physics
• Quantum Theory of Angular Momentum

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