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Chiral symmetry amplitudes in the S-wave isoscalar and isovector channels and the sigma, f0(980), a0(980) scalar mesons (HADRON'97)

1997/10/31 by J. A. Oller, E. Oset
Physics and Astronomy · #hep-ph

paper · pdf

published as Contribution to the Proceedings of HADRON'97, 25-30 August 1997, Brookhaven National Laboratory, NY · 4 pages, Latex, macros aipproc.sty,aipproc.cls

arxiv created 1997/10/31 · arxiv updated 2009/11/30

Abstract

We use a non-perturbative approach which combines coupled channel Lippmann-Schwinger equations with meson-meson potentials provided by the lowest order chiral Lagrangian. 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 sigma, f0 and a0 resonances. The ππ--> ππ, ππ--> K bar(K) phase shifts and inelasticities in the T=0 scalar channel are well reproduced as well as the π0 eta and K bar(K) mass distributions in the T=1 channel. Furthermore, the total and partial strong decay widths of the f0 and a0 resonances are properly reproduced.

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