Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models

Details Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models

2000-12-21

arxiv.org/abs/hep-ph/0012278v1

Phys.Rev.D64:014031,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

Submitted to Phys. Rev. D. 45 pages, 12 figures

Scientific paper

10.1103/PhysRevD.64.014031

The three flavor linear sigma model is studied as a ``toy model'' for understanding the role of possible light scalar mesons in the \pi \pi, \pi K and \pi \eta scattering channels. The approach involves computing the tree level partial wave amplitude for each channel and unitarizing by a simple K-matrix prescription which does not introduce any new parameters. If the renormalizable version of the model is used there is only one free parameter. While this highly constrained version has the right general structure to explain \pi \pi scatteirng, it is ``not quite'' right. A reasonable fit can be made if the renormalizability (for the {\it effective} Lagrangian) is relaxed while chiral symmetry is maintained. The occurence of a Ramsauer Townsend mechanism for the f_0(980) region naturally emerges. The effect of unitarization is very important and leads to ``physical'' masses for the scalar nonet all less than about 1 GeV. The a_0(1450) and K_0^*(1430) appear to be ``outsiders'' in this picture and to require additional fields. Comparison is made with a scattering treatment using a more general non-linear sigma model approach. In addition some speculative remarks and a highly simplified larger toy model are devoted to the question of the quark substructure of the light scalar mesons.

Affiliated with

Also associated with

No associations

Rating

Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unitarized pseudoscalar meson scattering amplitudes in three flavor linear sigma models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-662646