Magnitude of High-Energy Meson-Meson Total Cross Sections

The total cross section for meson-meson scattering at high energy is calculated using a simple, but plausible, $\mathrm{SU}\mathrm{}\left(n\right)\mathrm{}$-symmetric multiperipheral model. The resulting ${\sigma }_T$ is of the order $\frac{16{\pi }^3}{NM_V^{}{}_{}{}^2}$, where $M_V$ is the central mass of the dominant low-energy resonance multiplet in elastic meson-meson scattering and $N$ is the dimensionality of the multiplet of the incident mesons. The nongeometric character of this result is discussed.