γγ Interaction in the Generalized QCD Vector Meson Dominance Model and the QCD Inspired Eikonalized Approximation

Key words: 
• γγ interaction /
• generalized QCD vector meson dominance model /
• QCD inspired eikonalized approximation

Abstract: Based on the generalized QCD vector meson dominance model and the QCD Inspired Eikonalized approximation, γγ interaction has been studied in this paper. Unlike the usual calculations of the γγ interaction by the Feynman box diagram technique, we explore the process by QCD theory in which γγ elastic scattering proceeds through a strong interaction between two pairs of quarkantiquark fluctuated by two scattering photons. Due to the fact that the mediator of strong interaction is colorful gluon，and gluon has a property of self-interaction which can bind exchanging gluons together to form glueballs. The colorless tensor glueball (two Reggeized gluon bound state) and Odderon (three Reggeized gluon bound state) could be the mediators of the interaction between the two quarkantiquark pairs. This mechanism is very different from the other theoretical descriptions of the process. In particular, the contributions from virtual gluon, bound quarkantiquark to form a fluctuated meson, are taken into account. We calculate the total cross section σ_tot, the differential cross section dσ/dt, the ratio of the real part to the imaginary part of the forward scattering amplitude ρ, and the nuclear slope parameter function β of γγ elastic scattering. Our theoretical predictions for σ_tot are consistent with the experimental data within error bars of the data. The data for dσ/dt, ρ and β are urgently needed to test our theoretical model.
