  Baryon-baryon elastic scattering is considered in the independent scattering
(Landshoff) mechanism. It is suggested that for scattering at moderate
energies, direct and interchange quark channels contribute with equal color
coefficients because the quark color is randomized by soft gluon exchange
during the hadronization stage. With this assumption, it is shown that the
ratio of cross sections $R_{\overline{p} p/ p p}$ at CM angle $\theta = 90^0$
decreases from a high energy value of $R_{\pbar p / pp} \approx 1/2.7$, down to
$R_{\pbar p / pp} \approx 1/28$, compatible with experimental data at moderate
energies. This sizable fall in the ratio seems to be characteristic of the
Landshoff mechanism, in which changes at the quark level have a strong effect
precisely because the hadronic process occurs via multiple quark scatterings.
The effect of color randomization on the angular distribution of proton-proton
elastic scattering and the cross section ratio $R_{np/pp}$ is also discussed.
