Calculation of the scattering amplitude in the Regge representation

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Abstract
An analysis of the Regge representation of the elastic scattering amplitude is given. The background term is discussed in detail showing that, for large-angle scattering, its contribution is non-oscillatory and represents reflection from the core of a potential. It is shown that the direct reflection term cannot be ignored, although in low-energy collision the Regge pole contribution is dominant. However, in high-energy collisions, it may be the sole contribution to the large-angle differential cross section. This is confirmed in one example, with the explicit calculation of the Regge-pole and background term contributions to the scattering amplitude. The background term is dominant in the forward direction, representing diffraction and forward glory. On the other hand, the Regge-pole contribution can be neglected in first order.

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