Possible Odderon exchange in $pp$ and $\bar {p}p$ elastic collisions at the TOTEM experiment

Based on the Froissart-Martin theorem, the Regge theory and the possible Odderon exchange, the total cross-section and the ratio of the real to imaginary parts of the forward scattering amplitude in the and elastic collisions in the TOTEM energy region are studied in the FPO model. We consider the contributions of the Froissart bound and of the Pomeron, Reggeon and Odderon exchange terms in the scattering amplitude of the and elastic collisions. Using the Odderon intercept , our theoretical predictions are in good agreement with the recent results of the TOTEM experiment. These results show that the Odderon, corresponding to the odd elastic scattering amplitude, is likely to exist.