Exploring pseudoscalar meson scattering in linear sigma models

Details Exploring pseudoscalar meson scattering in linear sigma models Exploring pseudoscalar meson scattering in linear sigma models

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aipc..601..182b&link_type=abstract

THEORETICAL HIGH ENERGY PHYSICS: MRST 2001: A Tribute to Roger Migneron. AIP Conference Proceedings, Volume 601, pp. 182-187 (2

Physics

High Energy Physics

Meson-Meson Interactions, Hadron Mass Models And Calculations, Chiral Lagrangians

Scientific paper

The three flavor linear sigma model is studied as a toy model for understanding the role of possible light scalar mesons in the ππ, πK and πɛ elastic scattering channels. We unitarize tree level amplitudes using the K-matrix prescription and, with a sufficiently general model, obtain reasonable fits to the experimental data. The effect of unitarization is very important and leads to the emergence of a nonet of light scalars, with masses below 1 GeV. We compare with a scattering treatment using a more general non-linear sigma model approach and also comment briefly upon how our results fit in with the scalar meson puzzle. .

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