High-energy behavior of the real part of the scattering amplitude

Abstract

The asymptotic behavior of the ratio of the real part over the imaginary part of the forward scattering amplitude was investigated at high energies, by taking into account several high-ranking trajectories in the complex angular momentum plane (Pomeranchuk trajectory, cut and secondary poles). We find a simple relation between the real and imaginary part of the cut contribution and use it as a useful tool for discussing the behavior of the above ratio EeA(E, O)/ImA(E, 0) (=a) in the pp, p-p, π+-p and K+-p scattering. Under general assumptions we derive{ie1815-01}which is consistent with the experiment, and predict {ie1815-02} We can conclude that in all the two-particle scattering (A, B) the real part of the forward scattering amplitude approaches to zero asymptotically from a negative value if {ie1815-03} is positive.