Composite and elementary nature of a resonance in the sigma model

Abstract

We analyze the mixing nature of the low-lying scalar resonance consisting of the pipi composite and the elementary particle within the sigma model. A method to disentangle the mixing is formulated in the scattering theory with the concept of the two-level problem. We investigate the composite and elementary components of the sigma meson by changing a mixing parameter. We also study the dependence of the results on model parameters such as the cut-off value and the mass of the elementary sigma meson.

13 pages, 11 figures, 2 tables

References in corpus (4)

• Origin of resonances in the chiral unitary approach
• Hidden gauge formalism for the radiative decays of axial-vector mesons
• Tetraquark bound states in a Bethe-Salpeter approach
• Nature of the sigma meson as revealed by its softening process

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