$\gamma p$ and $\gamma \gamma$ scattering from $\bar{p}p$, $pp$ forward amplitudes in a QCD eikonal model with a dynamical gluon mass

Abstract

We examine the $\gamma p$ photoproduction and the hadronic $\gamma \gamma$ total cross sections by means of a QCD eikonal model with a dynamical infrared mass scale. In this model, where the dynamical gluon mass is the natural regulator for the tree level gluon-gluon scattering, the $\gamma p$ and $\gamma \gamma$ total cross sections are derived from the $pp$ and $\bar{p}p$ forward scattering amplitudes assuming vector meson dominance and the additive quark model. We show that the validity of the cross section factorization relation ${\sigma }_{pp}/{\sigma }_{\gamma p}={\sigma }_{\gamma p}/{\sigma }_{\gamma \gamma }$ is fulfilled depending on the Monte Carlo model used to unfold the hadronic $\gamma \gamma$ cross section data, and we discuss in detail the case of $\sigma (\gamma \gamma \to hadrons)$ data with $W_{\gamma \gamma }>10$ GeV unfolded by the Monte Carlo generators PYTHIA and PHOJET. The data seems to favor a mild dependence with the energy of the probability ($P_{had}$) that the photon interacts as a hadron.

16 pages, 3 figures; misprints corrected; to appear in Phys. Rev. D

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• Cross sections, multiplicity and moment distributions at the LHC
• Nonlinear effects and the behavior of total hadronic and photonic cross sections
• Proton-proton forward scattering at the LHC
• QCD effective charges and the structure function $F_2$ at small-$x$: Higher twist effects
• The small $x$ behavior of the gluon structure function from total cross sections
• Energy-dependent dipole form factor in a QCD-inspired model
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• QCD chiral symmetry restoration with a large number of quarks in a model with a confining propagator and dynamically massive gluons
• Nonperturbative gluon exchange in $pp$ elastic scattering at TeV energies
• Energy dependence of the inelasticity in $pp/p\bar{p}$ collisions from experimental information on charged particle multiplicity distributions
• Inelastic cross sections, overlap functions and Cq moments from ISR to LHC energies in proton interactions
• Multiplicity of photohadronization and photon--hadron scaling violation