How Universal is the Coupling in the Sigma Model?

Abstract

We calculate pion-pion scattering lengths and sigma, rho and a1 decay widths from a gauged linear sigma model with two flavours and its globally invariant generalisation.

Presented at the workshop SCADRON 70 "Scalar Mesons and Related Topics" February 11-16, 2008, at IST in Lisbon, Portugal. 5 pages, 1 figure

References in corpus (3)

• Roy equation analysis of pi pi scattering
• Vector and axialvector mesons at nonzero temperature within a gauged linear sigma model
• Wigner-Cusp in Kaon Decays and Determination of pi pi Scattering Lengths

Cited by in corpus (11)

• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
• Nuclear matter within a dilatation-invariant parity doublet model: the role of the tetraquark at nonzero density
• Dynamical generation and dynamical reconstruction
• Polyakov SU(3) extended linear $\sigma$-model: Sixteen mesonic states in chiral phase-structure
• Decay of light scalar mesons into vector-photon and into pseudoscalar mesons
• One-loop constituent quark contributions to the vector and axial-vector meson curvature mass
• Spontaneous breaking of chiral symmetry, and eventually of parity, in a $\sigma$-model with two Mexican hats
• Decay widths of resonances and pion scattering lengths in a globally invariant linear sigma model with vector mesons
• Influence of Vector Mesons on the f0(600) Decay Width in a Linear Sigma Model with Global Chiral Invariance
• The chiral partner of the nucleon in the mirror assignment with global symmetry