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