Symmetries of quark-antiquark scattering and meson mass-splitting

Linear mass formulae for meson nonets are obtained. The derivation is based on equalities among partial-wave amplitudes for quark-antiquark scattering obtained in a previous paper, and on an assumption about their analytical properties. The resulting formulae are in very good agreement with experimental mass values for the 1− and 2+ meson nonets, but fail completely for pseudoscalar mesons.