Anomalous di-photon production at LEP: possible consequences at FNAL hadron collider

The hypothetic R–resonance production (anomalous “$l\bar{l}\gamma \gamma$” events at LEP) with 60 GeV mass at FNAL hadron collider has been considered. The cross-section of this R-resonance production with the consequent decay $R \to \gamma\gamma$ is obtained. Various distributions of leptons and photons in the process $p\bar{p}\to l\bar{l}R(\to \gamma \gamma )X$ are calculated.