A unitary model of multiparticle amplitudes with multiperipheral and diffractive production mechanisms is presented. The model has a bootstrap solution for the elastic amplitude of the form ${\mathrm{}\left\{\right(J-1\mathrm{})+{[{\mathrm{}(J-1\mathrm{})\mathrm{}}^2-R_{0}t]}^{\frac{1}{2}}\}}^{-1\mathrm{}}$, leading to constant total cross sections at high energies. Inelastic cross sections and multiplicity distributions may be predicted in qualitative agreement with experiment.

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