1998/03/20 by M. Napsuciale, Napsuciale, M.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/9803396
24 pages, 3 figures. Scalar mesons exchange contributions to CHPT LEC included. New mixing angle and mass relations added. Scalar meson mixing angle and sigma mass corrected. 1/N counting rules for OZI violating terms reconsidered. New references added
openalex publication_date 1998/03/20 · arxiv created 1998/08/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Meson properties are considered within a U(3)× U(3) Linear Sigma Model(LSM). The importance of the UA(1)-breaking term and the OZI rule violating term in the generation of meson masses and mixing angles is stressed. The LSM parameters are fitted to the pseudoscalar meson spectrum thus giving predictions for scalar meson properties. The model predicts a scalar meson nonet whose members are: σ(≈ 400), f0(980), κ(≈ 900) and a0(980) resonances. Scalar meson mixing angle (in the |ns>, |s> basis) is predicted to be ϕS≈ -14^∘. Therefore the f0(980) is predominantly strange while the σ(≈ 400) is mostly non-strange. The model also gives a pseudoscalar mixing angle ϕP≈ 35^∘ which corresponds to θP ≈ -19^∘ in the singlet-octet basis. Comparison with chiral perturbation theory shows that L8 is saturated by scalar mesons exchange. However, LSM predicts that L5 is not saturated by scalar mesons exchange as assumed in the literature.