Multiplicity of photohadronization and photon--hadron scaling violation

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 $\sqrt{s}<20\text{GeV}$ and is extrapolated to the high energy region up to $\sqrt{s}\sim 200\text{GeV}$. 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.

Comments: 5 pages, 3 figures; v2: reference corrected