Multiplicity of photohadronization and photon--hadron scaling violation

TL;DR

This paper introduces a scaling transformation method based on photohadronization multiplicity to reconstruct photon-hadron cross sections, explaining scaling violations and achieving good agreement with experimental data across energies.

Contribution

The paper proposes a novel scaling transformation approach that accounts for photon-hadron scaling violation through a multiplicity function, enabling cross section reconstruction across a wide energy range.

Findings

Reconstructed gamma-nucleon cross sections align with experimental data.

The multiplicity function $ar n(s)$ explains scaling violations.

Method successfully extrapolates to high energies up to 200 GeV.

Abstract

The method of scaling transformations permitting to carry out the reconstruction of cross sections of $\gamma N$ and $\gamma\gamma$ interactions on the basis of cross sections of nucleon-(anti)nucleon interactions is suggested. The photon--hadron scaling violation is a consequence of dependence of scaling transformation parameter $\bar n(s)$ on the energy. The universal function $\bar n(s)$ is interpreted as the multiplicity of photohadronization. This function is established by processing the data on $\gamma p$ cross sections in the low energy region $\sqrt{s}< 20 \GeV$ and is extrapolated to the high energy region up to $\sqrt{s}\sim 200 \GeV$. The results of the reconstruction of $\gamma N$ cross sections at high energies and of $\gamma\gamma$ ones at all energies are in a remarkable agreement with available experimental data.