Derivative Dispersion Relations for the Amplitude Slopes in pp and p-pbar Scattering

TL;DR

This paper extends derivative dispersion relations to analyze the slopes of real and imaginary scattering amplitudes in proton-proton and proton-antiproton elastic collisions, testing their validity against high-energy data and exploring beyond the forward direction.

Contribution

It introduces new derivative dispersion relations for amplitude slopes and validates them with experimental data, including extensions beyond the forward scattering angle.

Findings

Relations are consistent with high-energy scattering data.

Extensions beyond the forward direction are feasible.

Provides a new tool for analyzing elastic scattering amplitudes.

Abstract

We extend the use of derivative dispersion relations to the study of slopes of the real and imaginary amplitudes in pp and p-pbar elastic scattering. The new relations are tested against the solutions for the amplitudes obtained in the analysis of the high energy data. Extensions beyond the forward direction are investigated.