Elastic $pp$ and $\overline{p}p$ scattering in models with a unitarized Pomeron

Elastic scattering amplitudes dominated by the Pomeron singularity which obey the principal unitarity bounds at high energies are constructed and analyzed. Confronting the models of double and triple (at $t=0$) Pomeron pole (supplemented by some terms responsible for the low energy behavior) with existing experimental data on $pp$ and $\overline{p}p$ total and differential cross sections at $\sqrt{s}\ge 5\mathrm{GeV}$ and $|t|\le 6{\mathrm{GeV}}^2$ we are able to tune the form of the Pomeron singularity. Actually the good agreement with the data is received for both models though the behavior given by the dipole model is more preferable in some aspects. The predictions made for the LHC energy values display, however, the quite noticeable difference between the predictions of models at $t\approx -0.4{\mathrm{GeV}}^2$. Apparently the future results of TOTEM experiment will be more conclusive to make a true choice.

Figure 1

$\overline{p}p$ at low energies.

Figure 2

$pp$ at low energies.

Figure 3

$\overline{p}p$ at high energies.

Figure 4

$pp$ at high energies.

Figure 5

Predictions for LHC energy.