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Central exclusive diffractive production (CEDP) of proton anti-proton pairswas calculated in the Regge-eikonal approach taking into account continuum andpossible $f_0(2100)$ resonance. We use the simple model with the ``scalar''proton. Data from ISR and STAR were analysed and compared with theoreticaldescription. Some predictions for the LHC at 13~TeV are also presented. Wediscuss shortly possible nuances, problems and prospects of investigations ofthis process at present and future hadron colliders.

Central exclusive diffractive $p$ $\bar{p}$ production in the Regge-eikonal model in the "scalar'' proton approximation