A simple ππ,(Formula presented.)K, and ρρ(ωω) fully coupled channel model is proposed to predict the isoscalar S-wave phase shifts and inelasticities for ππ scattering in the 1.0 to 2.0 GeV region. The S- matrix is required to exhibit poles corresponding to the established isoscalar Jπ=0+ resonances f0(975), f0(1400), and f0(1710). A dominant feature of the experimental ππ inelasticity is the clear opening of the(Formula presented.)K channel near 1 GeV, and the opening of another channel in the 1.4–1.5 GeV region. The success of our model in predicting this observed dramatic energy dependence indicates that the effect of multipion channels is adequately described by the ππ coupling to the(Formula presented.)K channel, the ρρ(4π) and ωω(6π) channels.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics