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

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

1997-03-04

arxiv.org/abs/hep-th/9703027v1

Phys.Lett. B404 (1997) 137-140

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, latex

Scientific paper

10.1016/S0370-2693(97)00510-8

We show that if for fixed negative (physical) square of the momentum transfer
t, the differential cross-section ${d\sigma\over dt}$ 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.

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