Phenomenology of Scalar Mesons

Abstract

A separable potential model of three coupled channels ππ, KK and an effective 2π2π has been constructed and applied in the analysis of the isoscalar S-wave ππ and KK phase shifts and inelasticities. A relatively narrow scalar resonance of mass 1400-1460 MeV has been found. This resonance is consistent with the recent CERN observation of an eventual scalar glueball at 1500 MeV. Other resonances at lower energies like a wide σ meson and a narrow f 0 (980) have been confirmed. 1 Fig. 1. Energy dependence of ππ phase shifts and inelasticities: a) fit to "down-flat" data of ref. 5 , thick solid line corresponds to fit A, thin solid line to fit B and dotted line to the 2-channel model fit; b) fit to "up-flat" data of ref. 5 , thick solid line corresponds to fit C, thin solid line to fit D and dotted line to the 2-channel model fit.