Sum rules for total hadronic widths of light mesons

Mass formulae for light meson multiplets derived by means of exotic commutator technique can be written for complex masses. Then the real parts of the formulae give the well known mass formulae (GM-O, Schwinger and Ideal) and the imaginary ones give appropriate sum rules for total hadronic widths. Most of the observed meson nonets satisfy Schwinger mass formula (Schwinger nonet). The width sum rules for such a nonet predict that for all particles the points (m,Γ) lie on the straight line in the complex mass plane. The sum rule is easily verifiable and expected to be well satisfied for the nonets above ∼ 1.5GeV . It also follows that masses and widths of the Schwinger nonet mesons submit to definite rules of order. These rules are very useful, especially in the cases of deficient experimental information. We give the table of established and hypothetic nonets and show mass-width diagrams for some of them. We suggest to recognize few multiplets as degenerate octets.