  The modified additive quark model, proposed recently, allows to improve
agreement of the standard additive quark model with the data on the $pp, \bar
pp, \pi^{\pm} p, \gamma p$ and $\gamma \gamma$ total cross-sections, as well as
on the ratios of real to imaginary part of $pp$ and $\bar pp$ 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 $\leq \sqrt{s}\leq $ 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.
