Unitary Models of the Pomeranchuk Singularity

Two models of production amplitudes are presented which do not lead to a violation of the Froissart bound when the leading Regge singularity reaches $J=1\mathrm{}$. Both models have a boot-strap solution with the two-body amplitude having the form ${[{\mathrm{}(J-1\mathrm{})\mathrm{}}^2-{R_0}^{2}t]}^{-\frac{3}{2}}$.