Implications of Approximate SU3Symmetry and Mass Formulas for the Mesons

The connection between the limit of perfect S${\mathrm{U}}_3$ symmetry and the zero mass approximation for the pseudoscalar meson octet is discussed. The well-known quadratic mass formula for the pseudoscalar meson octet and the linear mass formula for the baryons are derived. A simple model of strong interaction is presented which leads to two mass formulas for the nine spin-1 mesons: $2M_{\phi }+M_{\rho }+M_{\omega }=4\mathrm{}{M}_{K^{*}} \mathrm{and} M_{\rho }\cong M_{\omega }.$ The general invariance property of this model which contains, among others, a baryon octet, a pseudoscalar octet, and a vector nonet is examined.