Unitarity and High-Energy Inelastic Scattering

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Abstract
The effect of approximately enforcing the unitarity requirement on peripheral collision-type approximations is discussed. A matrix formulation of the Fourier-Bessel representation of the scattering amplitude is utilized which automatically satisfies unitarity at high energies. Our results indicate that quantitative agreement of the peripheral collision approximation with experiment can be accidental since the corrections due to unitarity take the same form and magnitude as the phenomenological form factors depending only on the momentum transfer which are introduced to account for "off-mass-shell" effects. Three models are discussed, and one of them has the behavior characteristics of a Regge trajectory.