Broken-mass solutions to superconvergence relations

We use an ansatz motivated by duality and the quark model to saturate superconvergence relations near t=0 for scattering of mesons in the vector and pseudoscalar nonets. The saturation is carried out with a few low-lying states, using the observed mass spectrum rather than the degenerate masses characteristic of a nonet-or SU(6)-symmetric model.