Elastic pp and $\bar{p}p$ scattering in the Modified Additive Quark Model

Abstract

The modified additive quark model, proposed recently, allows to improve agreement of the standard additive quark model with the data on the $pp,\bar{p}p,{\pi }^{\pm }p,\gamma p$ and $\gamma \gamma$ total cross-sections, as well as on the ratios of real to imaginary part of $pp$ and $\bar{p}p$ amplitudes at $t=0$. Here, we extend this model to non forward elastic scattering of protons and antiprotons. A high quality reproduction of angular distributions at 19.4 GeV $\le \sqrt{s}\le$ 1800 Gev is obtained. A zero at small $|t|$ in the real part of even amplitude in accordance with a recently proved high energy general theorem is found.

Comments: 14 pages, LaTeX2e, 4 eps figures. Revised version accepted for publication in European Physical Journal C