Regge Theory of High-Energy Scattering with Relatively Large Momentum Transfer

Functional equations for the Regge parameters $\alpha \mathrm{}\left(t\right)\mathrm{}$ and $\beta \mathrm{}\left(t\right)\mathrm{}$ are derived from the unitarity condition, which is valid for relatively large momentum transfer. By solving these equations we compute the high-energy cross section with relatively large momentum transfer up to two arbitrary periodic functions. The result agrees with Orear's fit except for the appearance of dips. We compare this result with high-energy experiments on $p-p$ scattering with large momentum transfer, and some prediction is made concerning the position of the dips.