Optical Theorem, Crossing Property and Derivative Dispersion Relations: Implications on the Asymptotic Behavior of $σ_{tot}(s)$ and $ρ(s)$
S. D. Campos,
V. A. Okorokov
Abstract:In this paper, one presents some results concerning the behavior of the total cross section and ρ-parameter at asymptotic energies in proton-proton (pp) and antiproton-proton (pp) collisions. For this intent, we consider three of the main theoretical results in high energy physics: the crossing property, the derivative dispersion relation, and the optical theorem. The use of such machinery allows the analytic formulas for wide set of the measured global scattering parameters and some important relations betwee… Show more
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