where $\Omega_P$ is the contribution of Pomeron exchange to elastic $pp$ scattering in impact parameter space \_P(s,b\^2) = (-b\^2/4B), \[eq:tiger\] where $\sigma_{pp}^P$ is the Pomeron contribution to the total cross section of the $pp$ interaction, and B = B\_0 + \_P’(s/s\_0) \[eq:unicorn\] is the slope of the elastic $pp$ amplitude. The amplitude $T_{PP}^h$ is the Fourier transform, to impact-parameter space, of the amplitude $T_{12}^{3h4}(s_1,s_2,\vec p_{3\perp},\vec p_{4\perp})$ of [(\[eq:adder\])]{} with $i=k=P$. That is T\_[PP]{}\^h(s\_1,s\_2,b\_1,b\_2) = ()\^2d\^2p\_[3]{}d\^2p\_[4]{} e\^[ip\_[3]{}b\_1]{} e\^[-ip\_[4]{}b\_2]{} T\_[PP]{}\^h(s\_1,s\_2,p\_[3]{},p\_[4]{}), \[eq:vole\] where $\vec b = \vec b_1 + \vec b_2$ is the Fourier conjugate to $\vec q = \vec p_{3\perp} - \vec p_{4\perp}$. For simplicity, we give the formula for a single-channel eikonal, where only intermediate proton states are considered, between the Pomeron exchanges in Fig. \[fig:2\]. The extension to the multichannel case is straightforward. In the calculations presented here we used the two-channel eikonal model of Ref. [@KMRsoft].

Note that if $\alpha_P(0)-1 \equiv \Delta>0$, then $\Omega_P(s,b^2)$ increases with energy and leads to a substantial suppression of cross section at very high energies. Calculations, using the model of Ref. [@KMRsoft], show that at Tevatron energies the Born cross section, corresponding to the diagram of Fig. \[fig:1\](b), is suppressed by the multi-Pomeron exchanges 