Mass of the Scalar Nonet

Abstract

We calculate the mass of the scalar (${J}^{P}={0}^{+}$) nonet using finite-energy sum rules. The same results are obtained upon using the Veneziano model. Our results are $\ensuremath{\sigma}({I}^{G}={0}^{+}, 770 \mathrm{MeV})$, singlet ${{\ensuremath{\eta}}_{0}}^{+}({I}^{G}={0}^{+}, 1020 \mathrm{MeV})$; $\ensuremath{\delta}({I}^{G}={1}^{\ensuremath{-}}, 930 \mathrm{MeV})$ and $\ensuremath{\kappa}(I=\frac{1}{2}, 1090 \mathrm{MeV})$. These results are in good agreement with their phenomenologically inferred values.