On a Possible Stationary Point in High-Energy Scattering

TL;DR

The paper observes an energy-independent feature in elastic proton-proton scattering at a specific momentum transfer across a wide energy range, predicting its persistence at 13 TeV and providing a lower bound for the forward slope.

Contribution

It identifies a nearly constant differential cross-section at a specific t value across multiple energies and predicts its behavior at 13 TeV, offering new insights into scattering dynamics.

Findings

Energy independence of dsigma/dt at t = -0.21 GeV^2 from ISR to LHC energies

Prediction of dsigma/dt at 13 TeV based on observed pattern

Lower bound for the forward pp slope at 13 GeV

Abstract

We discuss a curious observation: at energies from the ISR and up to the LHC, inclusively, the differential cross-section of elastic proton-proton scattering remains almost energy-independent at the transferred momentum t =-0.21 GeV^2 at the level of 7,5 mb/GeV^2.The latter value can be considered as a prediction for dsigma/dt at 13 TeV. We also obtain a lower bound for the forward pp slope at 13 GeV.