A theorem on the real part of the high-energy scattering amplitude near the forward direction

Abstract

We show that if for fixed negative (physical) square of the momentum transfer t, the differential cross-section $\frac{d\sigma }{dt}$ tends to zero and if the total cross-section tends to infinity, when the energy goes to infinity, the real part of the even signature amplitude cannot have a constant sign near t = 0.

arXiv comment7 pages, latex

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