THE PI-PI S-WAVE IN THE 1 TO 2 GEV REGION FROM A PI-PI, (K)OVER-BARK AND RHO-RHO(OMEGA-OMEGA) COUPLED-CHANNEL MODEL

A simple pi pi, (K) over bar K, and rho rho(omega omega) fully coupled channel model proposed to predict the isoscalar S-wave phase shifts a nd inelasticities for pi pi scattering in the 1.0 to 2.0 GeV region. T he S-matrix is required to exhibit poles corresponding to the establis hed isoscalar J(pi) = 0(+) resonances f(0)(975), f(0)(1400), and f(0)( 1710). A dominant feature of the experimental pi pi inelasticity is th e clear opening of the (K) over bar K channel near 1 GeV, and the open ing of another channel in the 1.4-1.5GeV region. The success of our mo del in predicting this observed dramatic energy dependence indicates t hat the effect of multipion channels is adequately described by the pi pi coupling to the (K) over bar K channel, the rho rho(4 pi) and omeg a omega(6 pi) channels.