Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the σ, f0(980), a0(980) scalar mesons

1997/02/13 by J. A. Oller, E. Oset · 37 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/s0375-9474(97)00160-7

published as Nucl.Phys.A620:438-456,1997; Erratum-ibid.A652:407,1999 · latex, 22 pages, 9 figures

arxiv created 1997/02/13 · openalex publication_date 1997/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We use a nonperturbative approach which combines coupled channel Lippmann Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangians. By means of one parameter, a cut off in the momentum of the loop integrals, which results of the order of 1 GeV, we obtain singularities in the S-wave amplitudes corresponding to the σ,f₀ and a₀ resonances. The ππ-->ππ, ππ-->KK phase shifts and inelasticities in the T=0 scalar channel are well reproduced as well as the π^-ηand K^-K⁰ mass distributions in the T=1 channel. Furthermore, the total and partial decay widths of the f₀ and a₀ resonances are properly reproduced including also the decay into the γγchannel. The results seem to indicate that chiral symmetry constraints at low energy and unitarity in coupled channels is the basic information contained in the meson-meson interaction below √(s)=1.2 GeV.

Citations

• Chiral Dynamics in Nucleons and Nuclei

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