Elastic scattering and the proton form factor

Abstract

We compute the differential and the total cross sections for $pp$ scattering using the QCD pomeron model proposed by Landshoff and Nachtmann. This model is quite dependent on the experimental electromagnetic form factor, and it is not totally clear why this form factor gives good results even at moderate transferred momentum. We exchange the eletromagnetic form factor by the asymptotic QCD proton form factor determined by Brodsky and Lepage (BL) plus a prescription for its low energy behavior dictated by the existence of a dynamically generated gluon mass. We fit the data with this QCD inspired form factor and a value for the dynamical gluon mass consistent with the ones determined in the literature. Our results also provide a new determination of the proton wave function at the origin, which appears in the BL form factor.

10 pages, 2 figures. Submitted to Physics Letters B. Submitted to Phys. Lett. B

References in corpus (8)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
• Total cross sections
• Relating a gluon mass scale to an infrared fixed point in pure gauge QCD
• Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations
• Diffraction and the Gluon Mass
• Influence of a dynamical gluon mass in the $pp$ and $\bar{p}p$ forward scattering
• A Consistent Next-to-Leading-Order QCD Calculation of Hadronic Diffractive Scattering

Cited by in corpus (3)

• Proton and neutron form factors from deformed gravity/gauge duality
• Non-leptonic annihilation decays of B mesons with a natural infrared cutoff
• Laplace's method for elastic scattering diagrams within multi-particle fields model